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Finding the Fourth Proportional to 417,959.76, 576,876.24 and 274,733.04

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Solution

The fourth proportional to 417,959.76, 576,876.24 and 274,733.04 is: 379,191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,959.76 : 576,876.24 = 274,733.04 : x
  2. Step 2: Convert to fraction form
    417,959.76/576,876.24 = 274,733.04/x
  3. Step 3: Cross multiply
    417,959.76x = 576,876.24 × 274,733.04
  4. Step 4: Simplify right side
    417,959.76x = 158,486,963,118.97
  5. Step 5: Solve for x
    x = 158,486,963,118.97/417,959.76
  6. Step 6: Final answer
    x = 379,191.92

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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.