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Finding the Fourth Proportional to 403,695, 557,099.10 and 224,847

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Solution

The fourth proportional to 403,695, 557,099.10 and 224,847 is: 310,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,695 : 557,099.10 = 224,847 : x
  2. Step 2: Convert to fraction form
    403,695/557,099.10 = 224,847/x
  3. Step 3: Cross multiply
    403,695x = 557,099.10 × 224,847
  4. Step 4: Simplify right side
    403,695x = 125,262,061,337.70
  5. Step 5: Solve for x
    x = 125,262,061,337.70/403,695
  6. Step 6: Final answer
    x = 310,288.86

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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.