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Finding the Fourth Proportional to 432,937.62, 649,467.39 and 133,442.34

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Solution

The fourth proportional to 432,937.62, 649,467.39 and 133,442.34 is: 200,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,937.62 : 649,467.39 = 133,442.34 : x
  2. Step 2: Convert to fraction form
    432,937.62/649,467.39 = 133,442.34/x
  3. Step 3: Cross multiply
    432,937.62x = 649,467.39 × 133,442.34
  4. Step 4: Simplify right side
    432,937.62x = 86,666,448,275.29
  5. Step 5: Solve for x
    x = 86,666,448,275.29/432,937.62
  6. Step 6: Final answer
    x = 200,182.30

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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.