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Finding the Fourth Proportional to 402,221.22, 602,787.51 and 152,767.14

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Solution

The fourth proportional to 402,221.22, 602,787.51 and 152,767.14 is: 228,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,221.22 : 602,787.51 = 152,767.14 : x
  2. Step 2: Convert to fraction form
    402,221.22/602,787.51 = 152,767.14/x
  3. Step 3: Cross multiply
    402,221.22x = 602,787.51 × 152,767.14
  4. Step 4: Simplify right side
    402,221.22x = 92,086,123,930.42
  5. Step 5: Solve for x
    x = 92,086,123,930.42/402,221.22
  6. Step 6: Final answer
    x = 228,943.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.