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Finding the Fourth Proportional to 432,124.66, 596,332.08 and 238,532.44

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Solution

The fourth proportional to 432,124.66, 596,332.08 and 238,532.44 is: 329,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,124.66 : 596,332.08 = 238,532.44 : x
  2. Step 2: Convert to fraction form
    432,124.66/596,332.08 = 238,532.44/x
  3. Step 3: Cross multiply
    432,124.66x = 596,332.08 × 238,532.44
  4. Step 4: Simplify right side
    432,124.66x = 142,244,546,092.68
  5. Step 5: Solve for x
    x = 142,244,546,092.68/432,124.66
  6. Step 6: Final answer
    x = 329,174.79

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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.