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Finding the Fourth Proportional to 341,996.38, 512,717.85 and 142,466.65

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Solution

The fourth proportional to 341,996.38, 512,717.85 and 142,466.65 is: 213,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996.38 : 512,717.85 = 142,466.65 : x
  2. Step 2: Convert to fraction form
    341,996.38/512,717.85 = 142,466.65/x
  3. Step 3: Cross multiply
    341,996.38x = 512,717.85 × 142,466.65
  4. Step 4: Simplify right side
    341,996.38x = 73,045,193,202.91
  5. Step 5: Solve for x
    x = 73,045,193,202.91/341,996.38
  6. Step 6: Final answer
    x = 213,584.70

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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.