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Finding the Fourth Proportional to 546,961.64, 820,538.76 and 187,047.86

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Solution

The fourth proportional to 546,961.64, 820,538.76 and 187,047.86 is: 280,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,961.64 : 820,538.76 = 187,047.86 : x
  2. Step 2: Convert to fraction form
    546,961.64/820,538.76 = 187,047.86/x
  3. Step 3: Cross multiply
    546,961.64x = 820,538.76 × 187,047.86
  4. Step 4: Simplify right side
    546,961.64x = 153,480,019,105.05
  5. Step 5: Solve for x
    x = 153,480,019,105.05/546,961.64
  6. Step 6: Final answer
    x = 280,604.72

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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.