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Finding the Fourth Proportional to 497,728.13, 746,595.09 and 123,751.13

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Solution

The fourth proportional to 497,728.13, 746,595.09 and 123,751.13 is: 185,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728.13 : 746,595.09 = 123,751.13 : x
  2. Step 2: Convert to fraction form
    497,728.13/746,595.09 = 123,751.13/x
  3. Step 3: Cross multiply
    497,728.13x = 746,595.09 × 123,751.13
  4. Step 4: Simplify right side
    497,728.13x = 92,391,982,306.98
  5. Step 5: Solve for x
    x = 92,391,982,306.98/497,728.13
  6. Step 6: Final answer
    x = 185,627.41

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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.