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Finding the Fourth Proportional to 601,275.74, 829,760.33 and 329,360.56

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Solution

The fourth proportional to 601,275.74, 829,760.33 and 329,360.56 is: 454,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,275.74 : 829,760.33 = 329,360.56 : x
  2. Step 2: Convert to fraction form
    601,275.74/829,760.33 = 329,360.56/x
  3. Step 3: Cross multiply
    601,275.74x = 829,760.33 × 329,360.56
  4. Step 4: Simplify right side
    601,275.74x = 273,290,323,233.38
  5. Step 5: Solve for x
    x = 273,290,323,233.38/601,275.74
  6. Step 6: Final answer
    x = 454,517.47

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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.