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Finding the Fourth Proportional to 498,187.86, 687,514.44 and 283,358.88

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Solution

The fourth proportional to 498,187.86, 687,514.44 and 283,358.88 is: 391,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,187.86 : 687,514.44 = 283,358.88 : x
  2. Step 2: Convert to fraction form
    498,187.86/687,514.44 = 283,358.88/x
  3. Step 3: Cross multiply
    498,187.86x = 687,514.44 × 283,358.88
  4. Step 4: Simplify right side
    498,187.86x = 194,813,321,702.23
  5. Step 5: Solve for x
    x = 194,813,321,702.23/498,187.86
  6. Step 6: Final answer
    x = 391,043.90

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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.