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Finding the Fourth Proportional to 418,055.38, 576,919.46 and 227,068.82

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Solution

The fourth proportional to 418,055.38, 576,919.46 and 227,068.82 is: 313,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,055.38 : 576,919.46 = 227,068.82 : x
  2. Step 2: Convert to fraction form
    418,055.38/576,919.46 = 227,068.82/x
  3. Step 3: Cross multiply
    418,055.38x = 576,919.46 × 227,068.82
  4. Step 4: Simplify right side
    418,055.38x = 131,000,420,863.76
  5. Step 5: Solve for x
    x = 131,000,420,863.76/418,055.38
  6. Step 6: Final answer
    x = 313,356.62

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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.