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Finding the Fourth Proportional to 542,995.69, 746,676.85 and 471,251.16

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Solution

The fourth proportional to 542,995.69, 746,676.85 and 471,251.16 is: 648,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,995.69 : 746,676.85 = 471,251.16 : x
  2. Step 2: Convert to fraction form
    542,995.69/746,676.85 = 471,251.16/x
  3. Step 3: Cross multiply
    542,995.69x = 746,676.85 × 471,251.16
  4. Step 4: Simplify right side
    542,995.69x = 351,872,325,618.01
  5. Step 5: Solve for x
    x = 351,872,325,618.01/542,995.69
  6. Step 6: Final answer
    x = 648,020.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.