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Finding the Fourth Proportional to 497,757.06, 746,638.56 and 123,780.06

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Solution

The fourth proportional to 497,757.06, 746,638.56 and 123,780.06 is: 185,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,757.06 : 746,638.56 = 123,780.06 : x
  2. Step 2: Convert to fraction form
    497,757.06/746,638.56 = 123,780.06/x
  3. Step 3: Cross multiply
    497,757.06x = 746,638.56 × 123,780.06
  4. Step 4: Simplify right side
    497,757.06x = 92,418,965,755.11
  5. Step 5: Solve for x
    x = 92,418,965,755.11/497,757.06
  6. Step 6: Final answer
    x = 185,670.83

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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.