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Finding the Fourth Proportional to 442,599.36, 663,736.38 and 158,213.17

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Solution

The fourth proportional to 442,599.36, 663,736.38 and 158,213.17 is: 237,261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,599.36 : 663,736.38 = 158,213.17 : x
  2. Step 2: Convert to fraction form
    442,599.36/663,736.38 = 158,213.17/x
  3. Step 3: Cross multiply
    442,599.36x = 663,736.38 × 158,213.17
  4. Step 4: Simplify right side
    442,599.36x = 105,011,836,724.13
  5. Step 5: Solve for x
    x = 105,011,836,724.13/442,599.36
  6. Step 6: Final answer
    x = 237,261.61

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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.