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Finding the Fourth Proportional to 417,194.82, 575,723.30 and 226,204.11

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Solution

The fourth proportional to 417,194.82, 575,723.30 and 226,204.11 is: 312,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,194.82 : 575,723.30 = 226,204.11 : x
  2. Step 2: Convert to fraction form
    417,194.82/575,723.30 = 226,204.11/x
  3. Step 3: Cross multiply
    417,194.82x = 575,723.30 × 226,204.11
  4. Step 4: Simplify right side
    417,194.82x = 130,230,975,551.74
  5. Step 5: Solve for x
    x = 130,230,975,551.74/417,194.82
  6. Step 6: Final answer
    x = 312,158.66

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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.