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Finding the Fourth Proportional to 497,514.80, 746,272.20 and 123,537.80

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Solution

The fourth proportional to 497,514.80, 746,272.20 and 123,537.80 is: 185,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,514.80 : 746,272.20 = 123,537.80 : x
  2. Step 2: Convert to fraction form
    497,514.80/746,272.20 = 123,537.80/x
  3. Step 3: Cross multiply
    497,514.80x = 746,272.20 × 123,537.80
  4. Step 4: Simplify right side
    497,514.80x = 92,192,825,789.16
  5. Step 5: Solve for x
    x = 92,192,825,789.16/497,514.80
  6. Step 6: Final answer
    x = 185,306.70

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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.