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Finding the Fourth Proportional to 302,778.72, 417,517.92 and 226,177.76

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Solution

The fourth proportional to 302,778.72, 417,517.92 and 226,177.76 is: 311,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,778.72 : 417,517.92 = 226,177.76 : x
  2. Step 2: Convert to fraction form
    302,778.72/417,517.92 = 226,177.76/x
  3. Step 3: Cross multiply
    302,778.72x = 417,517.92 × 226,177.76
  4. Step 4: Simplify right side
    302,778.72x = 94,433,267,905.46
  5. Step 5: Solve for x
    x = 94,433,267,905.46/302,778.72
  6. Step 6: Final answer
    x = 311,888.72

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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.