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Finding the Fourth Proportional to 498,439.24, 687,822.24 and 283,559.20

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Solution

The fourth proportional to 498,439.24, 687,822.24 and 283,559.20 is: 391,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,439.24 : 687,822.24 = 283,559.20 : x
  2. Step 2: Convert to fraction form
    498,439.24/687,822.24 = 283,559.20/x
  3. Step 3: Cross multiply
    498,439.24x = 687,822.24 × 283,559.20
  4. Step 4: Simplify right side
    498,439.24x = 195,038,324,116.61
  5. Step 5: Solve for x
    x = 195,038,324,116.61/498,439.24
  6. Step 6: Final answer
    x = 391,298.09

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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.