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Finding the Fourth Proportional to 367,044.70, 550,767.72 and 142,414.00

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Solution

The fourth proportional to 367,044.70, 550,767.72 and 142,414.00 is: 213,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,044.70 : 550,767.72 = 142,414.00 : x
  2. Step 2: Convert to fraction form
    367,044.70/550,767.72 = 142,414.00/x
  3. Step 3: Cross multiply
    367,044.70x = 550,767.72 × 142,414.00
  4. Step 4: Simplify right side
    367,044.70x = 78,437,030,610.17
  5. Step 5: Solve for x
    x = 78,437,030,610.17/367,044.70
  6. Step 6: Final answer
    x = 213,698.85

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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.