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Finding the Fourth Proportional to 927,894, 1,391,841 and 227,478

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Solution

The fourth proportional to 927,894, 1,391,841 and 227,478 is: 341,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,894 : 1,391,841 = 227,478 : x
  2. Step 2: Convert to fraction form
    927,894/1,391,841 = 227,478/x
  3. Step 3: Cross multiply
    927,894x = 1,391,841 × 227,478
  4. Step 4: Simplify right side
    927,894x = 316,613,206,998
  5. Step 5: Solve for x
    x = 316,613,206,998/927,894
  6. Step 6: Final answer
    x = 341,217

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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.