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Finding the Fourth Proportional to 432,884.31, 649,326.46 and 117,341.21

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Solution

The fourth proportional to 432,884.31, 649,326.46 and 117,341.21 is: 176,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,884.31 : 649,326.46 = 117,341.21 : x
  2. Step 2: Convert to fraction form
    432,884.31/649,326.46 = 117,341.21/x
  3. Step 3: Cross multiply
    432,884.31x = 649,326.46 × 117,341.21
  4. Step 4: Simplify right side
    432,884.31x = 76,192,752,501.42
  5. Step 5: Solve for x
    x = 76,192,752,501.42/432,884.31
  6. Step 6: Final answer
    x = 176,011.82

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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.