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Finding the Fourth Proportional to 426,402.57, 588,433.91 and 235,414.56

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Solution

The fourth proportional to 426,402.57, 588,433.91 and 235,414.56 is: 324,871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,402.57 : 588,433.91 = 235,414.56 : x
  2. Step 2: Convert to fraction form
    426,402.57/588,433.91 = 235,414.56/x
  3. Step 3: Cross multiply
    426,402.57x = 588,433.91 × 235,414.56
  4. Step 4: Simplify right side
    426,402.57x = 138,525,910,011.73
  5. Step 5: Solve for x
    x = 138,525,910,011.73/426,402.57
  6. Step 6: Final answer
    x = 324,871.19

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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.