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Finding the Fourth Proportional to 360,876.38, 497,954.48 and 205,829

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Solution

The fourth proportional to 360,876.38, 497,954.48 and 205,829 is: 284,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,876.38 : 497,954.48 = 205,829 : x
  2. Step 2: Convert to fraction form
    360,876.38/497,954.48 = 205,829/x
  3. Step 3: Cross multiply
    360,876.38x = 497,954.48 × 205,829
  4. Step 4: Simplify right side
    360,876.38x = 102,493,472,663.92
  5. Step 5: Solve for x
    x = 102,493,472,663.92/360,876.38
  6. Step 6: Final answer
    x = 284,012.69

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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.