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Finding the Fourth Proportional to 513,274.52, 708,323.42 and 283,847.25

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Solution

The fourth proportional to 513,274.52, 708,323.42 and 283,847.25 is: 391,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,274.52 : 708,323.42 = 283,847.25 : x
  2. Step 2: Convert to fraction form
    513,274.52/708,323.42 = 283,847.25/x
  3. Step 3: Cross multiply
    513,274.52x = 708,323.42 × 283,847.25
  4. Step 4: Simplify right side
    513,274.52x = 201,055,651,335.98
  5. Step 5: Solve for x
    x = 201,055,651,335.98/513,274.52
  6. Step 6: Final answer
    x = 391,711.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.