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Finding the Fourth Proportional to 546,951.64, 820,523.80 and 187,037.88

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Solution

The fourth proportional to 546,951.64, 820,523.80 and 187,037.88 is: 280,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,951.64 : 820,523.80 = 187,037.88 : x
  2. Step 2: Convert to fraction form
    546,951.64/820,523.80 = 187,037.88/x
  3. Step 3: Cross multiply
    546,951.64x = 820,523.80 × 187,037.88
  4. Step 4: Simplify right side
    546,951.64x = 153,469,032,041.54
  5. Step 5: Solve for x
    x = 153,469,032,041.54/546,951.64
  6. Step 6: Final answer
    x = 280,589.76

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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.