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Finding the Fourth Proportional to 657,057.60, 984,857.40 and 257,565.60

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Solution

The fourth proportional to 657,057.60, 984,857.40 and 257,565.60 is: 386,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,057.60 : 984,857.40 = 257,565.60 : x
  2. Step 2: Convert to fraction form
    657,057.60/984,857.40 = 257,565.60/x
  3. Step 3: Cross multiply
    657,057.60x = 984,857.40 × 257,565.60
  4. Step 4: Simplify right side
    657,057.60x = 253,665,387,145.44
  5. Step 5: Solve for x
    x = 253,665,387,145.44/657,057.60
  6. Step 6: Final answer
    x = 386,062.63

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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.