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Finding the Fourth Proportional to 533,713.20, 801,007.20 and 516,217.20

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Solution

The fourth proportional to 533,713.20, 801,007.20 and 516,217.20 is: 774,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,713.20 : 801,007.20 = 516,217.20 : x
  2. Step 2: Convert to fraction form
    533,713.20/801,007.20 = 516,217.20/x
  3. Step 3: Cross multiply
    533,713.20x = 801,007.20 × 516,217.20
  4. Step 4: Simplify right side
    533,713.20x = 413,493,693,963.84
  5. Step 5: Solve for x
    x = 413,493,693,963.84/533,713.20
  6. Step 6: Final answer
    x = 774,748.86

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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.