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Finding the Fourth Proportional to 409,650.62, 614,343.02 and 156,917.66

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Solution

The fourth proportional to 409,650.62, 614,343.02 and 156,917.66 is: 235,325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,650.62 : 614,343.02 = 156,917.66 : x
  2. Step 2: Convert to fraction form
    409,650.62/614,343.02 = 156,917.66/x
  3. Step 3: Cross multiply
    409,650.62x = 614,343.02 × 156,917.66
  4. Step 4: Simplify right side
    409,650.62x = 96,401,265,279.43
  5. Step 5: Solve for x
    x = 96,401,265,279.43/409,650.62
  6. Step 6: Final answer
    x = 235,325.57

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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.