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Finding the Fourth Proportional to 313,082.40, 469,882.80 and 144,861.60

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Solution

The fourth proportional to 313,082.40, 469,882.80 and 144,861.60 is: 217,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,082.40 : 469,882.80 = 144,861.60 : x
  2. Step 2: Convert to fraction form
    313,082.40/469,882.80 = 144,861.60/x
  3. Step 3: Cross multiply
    313,082.40x = 469,882.80 × 144,861.60
  4. Step 4: Simplify right side
    313,082.40x = 68,067,974,220.48
  5. Step 5: Solve for x
    x = 68,067,974,220.48/313,082.40
  6. Step 6: Final answer
    x = 217,412.33

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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.