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Finding the Fourth Proportional to 509,230.80, 763,846.20 and 256,413.60

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Solution

The fourth proportional to 509,230.80, 763,846.20 and 256,413.60 is: 384,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,230.80 : 763,846.20 = 256,413.60 : x
  2. Step 2: Convert to fraction form
    509,230.80/763,846.20 = 256,413.60/x
  3. Step 3: Cross multiply
    509,230.80x = 763,846.20 × 256,413.60
  4. Step 4: Simplify right side
    509,230.80x = 195,860,553,988.32
  5. Step 5: Solve for x
    x = 195,860,553,988.32/509,230.80
  6. Step 6: Final answer
    x = 384,620.40

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.