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Finding the Fourth Proportional to 417,634.52, 576,332.55 and 226,643.81

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Solution

The fourth proportional to 417,634.52, 576,332.55 and 226,643.81 is: 312,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,634.52 : 576,332.55 = 226,643.81 : x
  2. Step 2: Convert to fraction form
    417,634.52/576,332.55 = 226,643.81/x
  3. Step 3: Cross multiply
    417,634.52x = 576,332.55 × 226,643.81
  4. Step 4: Simplify right side
    417,634.52x = 130,622,202,077.35
  5. Step 5: Solve for x
    x = 130,622,202,077.35/417,634.52
  6. Step 6: Final answer
    x = 312,766.78

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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.