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Finding the Fourth Proportional to 257,907.60, 386,861.40 and 80,413.20

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Solution

The fourth proportional to 257,907.60, 386,861.40 and 80,413.20 is: 120,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,907.60 : 386,861.40 = 80,413.20 : x
  2. Step 2: Convert to fraction form
    257,907.60/386,861.40 = 80,413.20/x
  3. Step 3: Cross multiply
    257,907.60x = 386,861.40 × 80,413.20
  4. Step 4: Simplify right side
    257,907.60x = 31,108,763,130.48
  5. Step 5: Solve for x
    x = 31,108,763,130.48/257,907.60
  6. Step 6: Final answer
    x = 120,619.80

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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.