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Finding the Fourth Proportional to 498,418.80, 687,793.92 and 283,538.64

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Solution

The fourth proportional to 498,418.80, 687,793.92 and 283,538.64 is: 391,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,418.80 : 687,793.92 = 283,538.64 : x
  2. Step 2: Convert to fraction form
    498,418.80/687,793.92 = 283,538.64/x
  3. Step 3: Cross multiply
    498,418.80x = 687,793.92 × 283,538.64
  4. Step 4: Simplify right side
    498,418.80x = 195,016,152,677.07
  5. Step 5: Solve for x
    x = 195,016,152,677.07/498,418.80
  6. Step 6: Final answer
    x = 391,269.66

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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.