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Finding the Fourth Proportional to 547,271.20, 820,906.80 and 472,475.80

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Solution

The fourth proportional to 547,271.20, 820,906.80 and 472,475.80 is: 708,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,271.20 : 820,906.80 = 472,475.80 : x
  2. Step 2: Convert to fraction form
    547,271.20/820,906.80 = 472,475.80/x
  3. Step 3: Cross multiply
    547,271.20x = 820,906.80 × 472,475.80
  4. Step 4: Simplify right side
    547,271.20x = 387,858,597,055.44
  5. Step 5: Solve for x
    x = 387,858,597,055.44/547,271.20
  6. Step 6: Final answer
    x = 708,713.70

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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.