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Finding the Fourth Proportional to 432,081.76, 596,269.61 and 238,489.43

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Solution

The fourth proportional to 432,081.76, 596,269.61 and 238,489.43 is: 329,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,081.76 : 596,269.61 = 238,489.43 : x
  2. Step 2: Convert to fraction form
    432,081.76/596,269.61 = 238,489.43/x
  3. Step 3: Cross multiply
    432,081.76x = 596,269.61 × 238,489.43
  4. Step 4: Simplify right side
    432,081.76x = 142,204,000,905.90
  5. Step 5: Solve for x
    x = 142,204,000,905.90/432,081.76
  6. Step 6: Final answer
    x = 329,113.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.