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Finding the Fourth Proportional to 498,257.34, 687,633.18 and 283,384.59

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Solution

The fourth proportional to 498,257.34, 687,633.18 and 283,384.59 is: 391,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,257.34 : 687,633.18 = 283,384.59 : x
  2. Step 2: Convert to fraction form
    498,257.34/687,633.18 = 283,384.59/x
  3. Step 3: Cross multiply
    498,257.34x = 687,633.18 × 283,384.59
  4. Step 4: Simplify right side
    498,257.34x = 194,864,646,784.70
  5. Step 5: Solve for x
    x = 194,864,646,784.70/498,257.34
  6. Step 6: Final answer
    x = 391,092.38

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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.