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Finding the Fourth Proportional to 497,539.82, 686,606.98 and 282,691.67

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Solution

The fourth proportional to 497,539.82, 686,606.98 and 282,691.67 is: 390,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,539.82 : 686,606.98 = 282,691.67 : x
  2. Step 2: Convert to fraction form
    497,539.82/686,606.98 = 282,691.67/x
  3. Step 3: Cross multiply
    497,539.82x = 686,606.98 × 282,691.67
  4. Step 4: Simplify right side
    497,539.82x = 194,098,074,062.30
  5. Step 5: Solve for x
    x = 194,098,074,062.30/497,539.82
  6. Step 6: Final answer
    x = 390,115.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.