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Finding the Fourth Proportional to 474,286.64, 654,507.86 and 259,424.82

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Solution

The fourth proportional to 474,286.64, 654,507.86 and 259,424.82 is: 358,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,286.64 : 654,507.86 = 259,424.82 : x
  2. Step 2: Convert to fraction form
    474,286.64/654,507.86 = 259,424.82/x
  3. Step 3: Cross multiply
    474,286.64x = 654,507.86 × 259,424.82
  4. Step 4: Simplify right side
    474,286.64x = 169,795,582,471.96
  5. Step 5: Solve for x
    x = 169,795,582,471.96/474,286.64
  6. Step 6: Final answer
    x = 358,002.04

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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.