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Finding the Fourth Proportional to 462,100.74, 693,217.24 and 142,279.67

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Solution

The fourth proportional to 462,100.74, 693,217.24 and 142,279.67 is: 213,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,100.74 : 693,217.24 = 142,279.67 : x
  2. Step 2: Convert to fraction form
    462,100.74/693,217.24 = 142,279.67/x
  3. Step 3: Cross multiply
    462,100.74x = 693,217.24 × 142,279.67
  4. Step 4: Simplify right side
    462,100.74x = 98,630,721,522.85
  5. Step 5: Solve for x
    x = 98,630,721,522.85/462,100.74
  6. Step 6: Final answer
    x = 213,439.87

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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.