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Finding the Fourth Proportional to 647,882.60, 971,532.30 and 292,713.80

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Solution

The fourth proportional to 647,882.60, 971,532.30 and 292,713.80 is: 438,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,882.60 : 971,532.30 = 292,713.80 : x
  2. Step 2: Convert to fraction form
    647,882.60/971,532.30 = 292,713.80/x
  3. Step 3: Cross multiply
    647,882.60x = 971,532.30 × 292,713.80
  4. Step 4: Simplify right side
    647,882.60x = 284,380,911,355.74
  5. Step 5: Solve for x
    x = 284,380,911,355.74/647,882.60
  6. Step 6: Final answer
    x = 438,938.95

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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.