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Finding the Fourth Proportional to 338,404.98, 466,824.18 and 229,472.48

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Solution

The fourth proportional to 338,404.98, 466,824.18 and 229,472.48 is: 316,553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,404.98 : 466,824.18 = 229,472.48 : x
  2. Step 2: Convert to fraction form
    338,404.98/466,824.18 = 229,472.48/x
  3. Step 3: Cross multiply
    338,404.98x = 466,824.18 × 229,472.48
  4. Step 4: Simplify right side
    338,404.98x = 107,123,303,475.63
  5. Step 5: Solve for x
    x = 107,123,303,475.63/338,404.98
  6. Step 6: Final answer
    x = 316,553.57

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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.