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Finding the Fourth Proportional to 442,034.64, 663,047.10 and 264,591.18

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Solution

The fourth proportional to 442,034.64, 663,047.10 and 264,591.18 is: 396,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,034.64 : 663,047.10 = 264,591.18 : x
  2. Step 2: Convert to fraction form
    442,034.64/663,047.10 = 264,591.18/x
  3. Step 3: Cross multiply
    442,034.64x = 663,047.10 × 264,591.18
  4. Step 4: Simplify right side
    442,034.64x = 175,436,414,584.58
  5. Step 5: Solve for x
    x = 175,436,414,584.58/442,034.64
  6. Step 6: Final answer
    x = 396,883.86

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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.