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Finding the Fourth Proportional to 293,275.38, 404,915.94 and 197,747.22

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Solution

The fourth proportional to 293,275.38, 404,915.94 and 197,747.22 is: 273,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,275.38 : 404,915.94 = 197,747.22 : x
  2. Step 2: Convert to fraction form
    293,275.38/404,915.94 = 197,747.22/x
  3. Step 3: Cross multiply
    293,275.38x = 404,915.94 × 197,747.22
  4. Step 4: Simplify right side
    293,275.38x = 80,071,001,468.69
  5. Step 5: Solve for x
    x = 80,071,001,468.69/293,275.38
  6. Step 6: Final answer
    x = 273,023.26

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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.