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Finding the Fourth Proportional to 442,956.70, 664,435.05 and 162,583.30

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Solution

The fourth proportional to 442,956.70, 664,435.05 and 162,583.30 is: 243,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,956.70 : 664,435.05 = 162,583.30 : x
  2. Step 2: Convert to fraction form
    442,956.70/664,435.05 = 162,583.30/x
  3. Step 3: Cross multiply
    442,956.70x = 664,435.05 × 162,583.30
  4. Step 4: Simplify right side
    442,956.70x = 108,026,043,064.67
  5. Step 5: Solve for x
    x = 108,026,043,064.67/442,956.70
  6. Step 6: Final answer
    x = 243,874.95

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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.