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Finding the Fourth Proportional to 508,897.80, 762,180.30 and 497,233.80

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Solution

The fourth proportional to 508,897.80, 762,180.30 and 497,233.80 is: 744,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,897.80 : 762,180.30 = 497,233.80 : x
  2. Step 2: Convert to fraction form
    508,897.80/762,180.30 = 497,233.80/x
  3. Step 3: Cross multiply
    508,897.80x = 762,180.30 × 497,233.80
  4. Step 4: Simplify right side
    508,897.80x = 378,981,806,854.14
  5. Step 5: Solve for x
    x = 378,981,806,854.14/508,897.80
  6. Step 6: Final answer
    x = 744,711.03

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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.