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Finding the Fourth Proportional to 417,618.59, 576,314.01 and 226,631.97

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Solution

The fourth proportional to 417,618.59, 576,314.01 and 226,631.97 is: 312,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,618.59 : 576,314.01 = 226,631.97 : x
  2. Step 2: Convert to fraction form
    417,618.59/576,314.01 = 226,631.97/x
  3. Step 3: Cross multiply
    417,618.59x = 576,314.01 × 226,631.97
  4. Step 4: Simplify right side
    417,618.59x = 130,611,179,424.90
  5. Step 5: Solve for x
    x = 130,611,179,424.90/417,618.59
  6. Step 6: Final answer
    x = 312,752.32

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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.