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Finding the Fourth Proportional to 442,029.80, 663,044.70 and 161,748.20

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Solution

The fourth proportional to 442,029.80, 663,044.70 and 161,748.20 is: 242,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,029.80 : 663,044.70 = 161,748.20 : x
  2. Step 2: Convert to fraction form
    442,029.80/663,044.70 = 161,748.20/x
  3. Step 3: Cross multiply
    442,029.80x = 663,044.70 × 161,748.20
  4. Step 4: Simplify right side
    442,029.80x = 107,246,286,744.54
  5. Step 5: Solve for x
    x = 107,246,286,744.54/442,029.80
  6. Step 6: Final answer
    x = 242,622.30

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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.