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Finding the Fourth Proportional to 657,343.20, 984,265.20 and 419,397.60

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Solution

The fourth proportional to 657,343.20, 984,265.20 and 419,397.60 is: 627,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,343.20 : 984,265.20 = 419,397.60 : x
  2. Step 2: Convert to fraction form
    657,343.20/984,265.20 = 419,397.60/x
  3. Step 3: Cross multiply
    657,343.20x = 984,265.20 × 419,397.60
  4. Step 4: Simplify right side
    657,343.20x = 412,798,462,643.52
  5. Step 5: Solve for x
    x = 412,798,462,643.52/657,343.20
  6. Step 6: Final answer
    x = 627,980.12

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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.