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Finding the Fourth Proportional to 381,394.60, 571,919.10 and 144,658.60

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Solution

The fourth proportional to 381,394.60, 571,919.10 and 144,658.60 is: 216,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,394.60 : 571,919.10 = 144,658.60 : x
  2. Step 2: Convert to fraction form
    381,394.60/571,919.10 = 144,658.60/x
  3. Step 3: Cross multiply
    381,394.60x = 571,919.10 × 144,658.60
  4. Step 4: Simplify right side
    381,394.60x = 82,733,016,319.26
  5. Step 5: Solve for x
    x = 82,733,016,319.26/381,394.60
  6. Step 6: Final answer
    x = 216,922.36

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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.