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Finding the Fourth Proportional to 656,951.30, 985,686.15 and 257,524.10

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Solution

The fourth proportional to 656,951.30, 985,686.15 and 257,524.10 is: 386,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,951.30 : 985,686.15 = 257,524.10 : x
  2. Step 2: Convert to fraction form
    656,951.30/985,686.15 = 257,524.10/x
  3. Step 3: Cross multiply
    656,951.30x = 985,686.15 × 257,524.10
  4. Step 4: Simplify right side
    656,951.30x = 253,837,938,661.22
  5. Step 5: Solve for x
    x = 253,837,938,661.22/656,951.30
  6. Step 6: Final answer
    x = 386,387.76

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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.