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Finding the Fourth Proportional to 498,306.90, 687,679.56 and 283,441.44

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Solution

The fourth proportional to 498,306.90, 687,679.56 and 283,441.44 is: 391,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,306.90 : 687,679.56 = 283,441.44 : x
  2. Step 2: Convert to fraction form
    498,306.90/687,679.56 = 283,441.44/x
  3. Step 3: Cross multiply
    498,306.90x = 687,679.56 × 283,441.44
  4. Step 4: Simplify right side
    498,306.90x = 194,916,884,744.97
  5. Step 5: Solve for x
    x = 194,916,884,744.97/498,306.90
  6. Step 6: Final answer
    x = 391,158.31

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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.