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Finding the Fourth Proportional to 416,721.76, 574,959.34 and 261,689.76

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Solution

The fourth proportional to 416,721.76, 574,959.34 and 261,689.76 is: 361,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,721.76 : 574,959.34 = 261,689.76 : x
  2. Step 2: Convert to fraction form
    416,721.76/574,959.34 = 261,689.76/x
  3. Step 3: Cross multiply
    416,721.76x = 574,959.34 × 261,689.76
  4. Step 4: Simplify right side
    416,721.76x = 150,460,971,694.36
  5. Step 5: Solve for x
    x = 150,460,971,694.36/416,721.76
  6. Step 6: Final answer
    x = 361,058.59

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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.