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Finding the Fourth Proportional to 432,905.58, 649,358.34 and 117,354.28

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Solution

The fourth proportional to 432,905.58, 649,358.34 and 117,354.28 is: 176,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,905.58 : 649,358.34 = 117,354.28 : x
  2. Step 2: Convert to fraction form
    432,905.58/649,358.34 = 117,354.28/x
  3. Step 3: Cross multiply
    432,905.58x = 649,358.34 × 117,354.28
  4. Step 4: Simplify right side
    432,905.58x = 76,204,980,452.70
  5. Step 5: Solve for x
    x = 76,204,980,452.70/432,905.58
  6. Step 6: Final answer
    x = 176,031.41

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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.