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Finding the Fourth Proportional to 657,124.90, 984,520.95 and 407,515.30

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Solution

The fourth proportional to 657,124.90, 984,520.95 and 407,515.30 is: 610,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,124.90 : 984,520.95 = 407,515.30 : x
  2. Step 2: Convert to fraction form
    657,124.90/984,520.95 = 407,515.30/x
  3. Step 3: Cross multiply
    657,124.90x = 984,520.95 × 407,515.30
  4. Step 4: Simplify right side
    657,124.90x = 401,207,350,295.54
  5. Step 5: Solve for x
    x = 401,207,350,295.54/657,124.90
  6. Step 6: Final answer
    x = 610,549.61

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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.