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Finding the Fourth Proportional to 415,350.40, 623,025.60 and 411,413.80

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Solution

The fourth proportional to 415,350.40, 623,025.60 and 411,413.80 is: 617,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,350.40 : 623,025.60 = 411,413.80 : x
  2. Step 2: Convert to fraction form
    415,350.40/623,025.60 = 411,413.80/x
  3. Step 3: Cross multiply
    415,350.40x = 623,025.60 × 411,413.80
  4. Step 4: Simplify right side
    415,350.40x = 256,321,329,593.28
  5. Step 5: Solve for x
    x = 256,321,329,593.28/415,350.40
  6. Step 6: Final answer
    x = 617,120.70

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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.