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Finding the Fourth Proportional to 432,564.68, 596,937.38 and 238,972.39

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Solution

The fourth proportional to 432,564.68, 596,937.38 and 238,972.39 is: 329,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,564.68 : 596,937.38 = 238,972.39 : x
  2. Step 2: Convert to fraction form
    432,564.68/596,937.38 = 238,972.39/x
  3. Step 3: Cross multiply
    432,564.68x = 596,937.38 × 238,972.39
  4. Step 4: Simplify right side
    432,564.68x = 142,651,552,378.94
  5. Step 5: Solve for x
    x = 142,651,552,378.94/432,564.68
  6. Step 6: Final answer
    x = 329,780.86

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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.