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Finding the Fourth Proportional to 417,618.25, 576,313.16 and 226,631.64

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Solution

The fourth proportional to 417,618.25, 576,313.16 and 226,631.64 is: 312,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,618.25 : 576,313.16 = 226,631.64 : x
  2. Step 2: Convert to fraction form
    417,618.25/576,313.16 = 226,631.64/x
  3. Step 3: Cross multiply
    417,618.25x = 576,313.16 × 226,631.64
  4. Step 4: Simplify right side
    417,618.25x = 130,610,795,665.44
  5. Step 5: Solve for x
    x = 130,610,795,665.44/417,618.25
  6. Step 6: Final answer
    x = 312,751.65

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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.