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Finding the Fourth Proportional to 409,618.71, 614,427.17 and 110,099.28

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Solution

The fourth proportional to 409,618.71, 614,427.17 and 110,099.28 is: 165,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,618.71 : 614,427.17 = 110,099.28 : x
  2. Step 2: Convert to fraction form
    409,618.71/614,427.17 = 110,099.28/x
  3. Step 3: Cross multiply
    409,618.71x = 614,427.17 × 110,099.28
  4. Step 4: Simplify right side
    409,618.71x = 67,647,991,402.35
  5. Step 5: Solve for x
    x = 67,647,991,402.35/409,618.71
  6. Step 6: Final answer
    x = 165,148.68

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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.