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Finding the Fourth Proportional to 533,177.40, 797,822.10 and 393,209.40

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Solution

The fourth proportional to 533,177.40, 797,822.10 and 393,209.40 is: 588,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,177.40 : 797,822.10 = 393,209.40 : x
  2. Step 2: Convert to fraction form
    533,177.40/797,822.10 = 393,209.40/x
  3. Step 3: Cross multiply
    533,177.40x = 797,822.10 × 393,209.40
  4. Step 4: Simplify right side
    533,177.40x = 313,711,149,247.74
  5. Step 5: Solve for x
    x = 313,711,149,247.74/533,177.40
  6. Step 6: Final answer
    x = 588,380.43

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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.