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Finding the Fourth Proportional to 409,719.62, 614,578.35 and 110,200.10

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Solution

The fourth proportional to 409,719.62, 614,578.35 and 110,200.10 is: 165,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,719.62 : 614,578.35 = 110,200.10 : x
  2. Step 2: Convert to fraction form
    409,719.62/614,578.35 = 110,200.10/x
  3. Step 3: Cross multiply
    409,719.62x = 614,578.35 × 110,200.10
  4. Step 4: Simplify right side
    409,719.62x = 67,726,595,627.84
  5. Step 5: Solve for x
    x = 67,726,595,627.84/409,719.62
  6. Step 6: Final answer
    x = 165,299.86

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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.