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Finding the Fourth Proportional to 418,077.72, 576,945 and 227,091.24

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Solution

The fourth proportional to 418,077.72, 576,945 and 227,091.24 is: 313,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,077.72 : 576,945 = 227,091.24 : x
  2. Step 2: Convert to fraction form
    418,077.72/576,945 = 227,091.24/x
  3. Step 3: Cross multiply
    418,077.72x = 576,945 × 227,091.24
  4. Step 4: Simplify right side
    418,077.72x = 131,019,155,461.80
  5. Step 5: Solve for x
    x = 131,019,155,461.80/418,077.72
  6. Step 6: Final answer
    x = 313,384.69

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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.