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Finding the Fourth Proportional to 432,591.54, 647,609.40 and 319,520.94

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Solution

The fourth proportional to 432,591.54, 647,609.40 and 319,520.94 is: 478,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,591.54 : 647,609.40 = 319,520.94 : x
  2. Step 2: Convert to fraction form
    432,591.54/647,609.40 = 319,520.94/x
  3. Step 3: Cross multiply
    432,591.54x = 647,609.40 × 319,520.94
  4. Step 4: Simplify right side
    432,591.54x = 206,924,764,240.84
  5. Step 5: Solve for x
    x = 206,924,764,240.84/432,591.54
  6. Step 6: Final answer
    x = 478,337.52

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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.