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Finding the Fourth Proportional to 497,738.52, 746,614.80 and 123,761.52

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Solution

The fourth proportional to 497,738.52, 746,614.80 and 123,761.52 is: 185,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,738.52 : 746,614.80 = 123,761.52 : x
  2. Step 2: Convert to fraction form
    497,738.52/746,614.80 = 123,761.52/x
  3. Step 3: Cross multiply
    497,738.52x = 746,614.80 × 123,761.52
  4. Step 4: Simplify right side
    497,738.52x = 92,402,182,502.50
  5. Step 5: Solve for x
    x = 92,402,182,502.50/497,738.52
  6. Step 6: Final answer
    x = 185,644.03

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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.