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Finding the Fourth Proportional to 432,714.44, 649,071.66 and 117,171.29

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Solution

The fourth proportional to 432,714.44, 649,071.66 and 117,171.29 is: 175,756.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,714.44 : 649,071.66 = 117,171.29 : x
  2. Step 2: Convert to fraction form
    432,714.44/649,071.66 = 117,171.29/x
  3. Step 3: Cross multiply
    432,714.44x = 649,071.66 × 117,171.29
  4. Step 4: Simplify right side
    432,714.44x = 76,052,563,704.64
  5. Step 5: Solve for x
    x = 76,052,563,704.64/432,714.44
  6. Step 6: Final answer
    x = 175,756.94

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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.