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Finding the Fourth Proportional to 462,892.20, 694,376.70 and 147,340.20

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Solution

The fourth proportional to 462,892.20, 694,376.70 and 147,340.20 is: 221,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,892.20 : 694,376.70 = 147,340.20 : x
  2. Step 2: Convert to fraction form
    462,892.20/694,376.70 = 147,340.20/x
  3. Step 3: Cross multiply
    462,892.20x = 694,376.70 × 147,340.20
  4. Step 4: Simplify right side
    462,892.20x = 102,309,601,853.34
  5. Step 5: Solve for x
    x = 102,309,601,853.34/462,892.20
  6. Step 6: Final answer
    x = 221,022.52

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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.