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Finding the Fourth Proportional to 361,246.84, 498,471.30 and 200,062.12

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Solution

The fourth proportional to 361,246.84, 498,471.30 and 200,062.12 is: 276,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,246.84 : 498,471.30 = 200,062.12 : x
  2. Step 2: Convert to fraction form
    361,246.84/498,471.30 = 200,062.12/x
  3. Step 3: Cross multiply
    361,246.84x = 498,471.30 × 200,062.12
  4. Step 4: Simplify right side
    361,246.84x = 99,725,225,037.16
  5. Step 5: Solve for x
    x = 99,725,225,037.16/361,246.84
  6. Step 6: Final answer
    x = 276,058.40

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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.