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Finding the Fourth Proportional to 417,367.89, 575,963.46 and 226,377.18

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Solution

The fourth proportional to 417,367.89, 575,963.46 and 226,377.18 is: 312,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,367.89 : 575,963.46 = 226,377.18 : x
  2. Step 2: Convert to fraction form
    417,367.89/575,963.46 = 226,377.18/x
  3. Step 3: Cross multiply
    417,367.89x = 575,963.46 × 226,377.18
  4. Step 4: Simplify right side
    417,367.89x = 130,384,983,857.84
  5. Step 5: Solve for x
    x = 130,384,983,857.84/417,367.89
  6. Step 6: Final answer
    x = 312,398.22

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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.