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Finding the Fourth Proportional to 298,251.64, 411,574.92 and 162,286.12

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Solution

The fourth proportional to 298,251.64, 411,574.92 and 162,286.12 is: 223,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,251.64 : 411,574.92 = 162,286.12 : x
  2. Step 2: Convert to fraction form
    298,251.64/411,574.92 = 162,286.12/x
  3. Step 3: Cross multiply
    298,251.64x = 411,574.92 × 162,286.12
  4. Step 4: Simplify right side
    298,251.64x = 66,792,896,856.11
  5. Step 5: Solve for x
    x = 66,792,896,856.11/298,251.64
  6. Step 6: Final answer
    x = 223,948.13

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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.