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Finding the Fourth Proportional to 237,872.84, 328,672.50 and 229,358.12

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Solution

The fourth proportional to 237,872.84, 328,672.50 and 229,358.12 is: 316,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,872.84 : 328,672.50 = 229,358.12 : x
  2. Step 2: Convert to fraction form
    237,872.84/328,672.50 = 229,358.12/x
  3. Step 3: Cross multiply
    237,872.84x = 328,672.50 × 229,358.12
  4. Step 4: Simplify right side
    237,872.84x = 75,383,706,695.70
  5. Step 5: Solve for x
    x = 75,383,706,695.70/237,872.84
  6. Step 6: Final answer
    x = 316,907.58

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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.