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Finding the Fourth Proportional to 442,754.11, 664,397.25 and 158,422.24

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Solution

The fourth proportional to 442,754.11, 664,397.25 and 158,422.24 is: 237,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,754.11 : 664,397.25 = 158,422.24 : x
  2. Step 2: Convert to fraction form
    442,754.11/664,397.25 = 158,422.24/x
  3. Step 3: Cross multiply
    442,754.11x = 664,397.25 × 158,422.24
  4. Step 4: Simplify right side
    442,754.11x = 105,255,300,594.84
  5. Step 5: Solve for x
    x = 105,255,300,594.84/442,754.11
  6. Step 6: Final answer
    x = 237,728.57

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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.