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Finding the Fourth Proportional to 498,462.24, 686,131.92 and 434,687.52

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Solution

The fourth proportional to 498,462.24, 686,131.92 and 434,687.52 is: 598,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,462.24 : 686,131.92 = 434,687.52 : x
  2. Step 2: Convert to fraction form
    498,462.24/686,131.92 = 434,687.52/x
  3. Step 3: Cross multiply
    498,462.24x = 686,131.92 × 434,687.52
  4. Step 4: Simplify right side
    498,462.24x = 298,252,982,697.64
  5. Step 5: Solve for x
    x = 298,252,982,697.64/498,462.24
  6. Step 6: Final answer
    x = 598,346.19

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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.