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Finding the Fourth Proportional to 432,713.44, 649,070.16 and 117,170.29

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Solution

The fourth proportional to 432,713.44, 649,070.16 and 117,170.29 is: 175,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,713.44 : 649,070.16 = 117,170.29 : x
  2. Step 2: Convert to fraction form
    432,713.44/649,070.16 = 117,170.29/x
  3. Step 3: Cross multiply
    432,713.44x = 649,070.16 × 117,170.29
  4. Step 4: Simplify right side
    432,713.44x = 76,051,738,877.55
  5. Step 5: Solve for x
    x = 76,051,738,877.55/432,713.44
  6. Step 6: Final answer
    x = 175,755.44

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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.