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Finding the Fourth Proportional to 723,445.92, 998,369.10 and 396,738.24

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Solution

The fourth proportional to 723,445.92, 998,369.10 and 396,738.24 is: 547,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,445.92 : 998,369.10 = 396,738.24 : x
  2. Step 2: Convert to fraction form
    723,445.92/998,369.10 = 396,738.24/x
  3. Step 3: Cross multiply
    723,445.92x = 998,369.10 × 396,738.24
  4. Step 4: Simplify right side
    723,445.92x = 396,091,199,604.38
  5. Step 5: Solve for x
    x = 396,091,199,604.38/723,445.92
  6. Step 6: Final answer
    x = 547,506.30

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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.