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Finding the Fourth Proportional to 417,959.68, 576,960.93 and 282,177.55

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Solution

The fourth proportional to 417,959.68, 576,960.93 and 282,177.55 is: 389,524.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,959.68 : 576,960.93 = 282,177.55 : x
  2. Step 2: Convert to fraction form
    417,959.68/576,960.93 = 282,177.55/x
  3. Step 3: Cross multiply
    417,959.68x = 576,960.93 × 282,177.55
  4. Step 4: Simplify right side
    417,959.68x = 162,805,417,377.43
  5. Step 5: Solve for x
    x = 162,805,417,377.43/417,959.68
  6. Step 6: Final answer
    x = 389,524.22

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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.