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Finding the Fourth Proportional to 417,756.82, 576,514.86 and 226,770.20

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Solution

The fourth proportional to 417,756.82, 576,514.86 and 226,770.20 is: 312,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,756.82 : 576,514.86 = 226,770.20 : x
  2. Step 2: Convert to fraction form
    417,756.82/576,514.86 = 226,770.20/x
  3. Step 3: Cross multiply
    417,756.82x = 576,514.86 × 226,770.20
  4. Step 4: Simplify right side
    417,756.82x = 130,736,390,105.17
  5. Step 5: Solve for x
    x = 130,736,390,105.17/417,756.82
  6. Step 6: Final answer
    x = 312,948.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.