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Finding the Fourth Proportional to 432,900.83, 649,351.22 and 117,349.53

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Solution

The fourth proportional to 432,900.83, 649,351.22 and 117,349.53 is: 176,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,900.83 : 649,351.22 = 117,349.53 : x
  2. Step 2: Convert to fraction form
    432,900.83/649,351.22 = 117,349.53/x
  3. Step 3: Cross multiply
    432,900.83x = 649,351.22 × 117,349.53
  4. Step 4: Simplify right side
    432,900.83x = 76,201,059,885.18
  5. Step 5: Solve for x
    x = 76,201,059,885.18/432,900.83
  6. Step 6: Final answer
    x = 176,024.29

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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.