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Finding the Fourth Proportional to 472,134.56, 708,206.76 and 377,963.42

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Solution

The fourth proportional to 472,134.56, 708,206.76 and 377,963.42 is: 566,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,134.56 : 708,206.76 = 377,963.42 : x
  2. Step 2: Convert to fraction form
    472,134.56/708,206.76 = 377,963.42/x
  3. Step 3: Cross multiply
    472,134.56x = 708,206.76 × 377,963.42
  4. Step 4: Simplify right side
    472,134.56x = 267,676,245,535.69
  5. Step 5: Solve for x
    x = 267,676,245,535.69/472,134.56
  6. Step 6: Final answer
    x = 566,949.07

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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.