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Finding the Fourth Proportional to 442,082.52, 663,319.80 and 231,670.44

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Solution

The fourth proportional to 442,082.52, 663,319.80 and 231,670.44 is: 347,608.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,082.52 : 663,319.80 = 231,670.44 : x
  2. Step 2: Convert to fraction form
    442,082.52/663,319.80 = 231,670.44/x
  3. Step 3: Cross multiply
    442,082.52x = 663,319.80 × 231,670.44
  4. Step 4: Simplify right side
    442,082.52x = 153,671,589,926.71
  5. Step 5: Solve for x
    x = 153,671,589,926.71/442,082.52
  6. Step 6: Final answer
    x = 347,608.38

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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.