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Finding the Fourth Proportional to 456,413.60, 684,620.40 and 297,783.20

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Solution

The fourth proportional to 456,413.60, 684,620.40 and 297,783.20 is: 446,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,413.60 : 684,620.40 = 297,783.20 : x
  2. Step 2: Convert to fraction form
    456,413.60/684,620.40 = 297,783.20/x
  3. Step 3: Cross multiply
    456,413.60x = 684,620.40 × 297,783.20
  4. Step 4: Simplify right side
    456,413.60x = 203,868,453,497.28
  5. Step 5: Solve for x
    x = 203,868,453,497.28/456,413.60
  6. Step 6: Final answer
    x = 446,674.80

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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.