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Finding the Fourth Proportional to 381,346.60, 571,847.10 and 144,610.60

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Solution

The fourth proportional to 381,346.60, 571,847.10 and 144,610.60 is: 216,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,346.60 : 571,847.10 = 144,610.60 : x
  2. Step 2: Convert to fraction form
    381,346.60/571,847.10 = 144,610.60/x
  3. Step 3: Cross multiply
    381,346.60x = 571,847.10 × 144,610.60
  4. Step 4: Simplify right side
    381,346.60x = 82,695,152,239.26
  5. Step 5: Solve for x
    x = 82,695,152,239.26/381,346.60
  6. Step 6: Final answer
    x = 216,850.37

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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.