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Finding the Fourth Proportional to 362,930.16, 500,856.23 and 201,792

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Solution

The fourth proportional to 362,930.16, 500,856.23 and 201,792 is: 278,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,930.16 : 500,856.23 = 201,792 : x
  2. Step 2: Convert to fraction form
    362,930.16/500,856.23 = 201,792/x
  3. Step 3: Cross multiply
    362,930.16x = 500,856.23 × 201,792
  4. Step 4: Simplify right side
    362,930.16x = 101,068,780,868.64
  5. Step 5: Solve for x
    x = 101,068,780,868.64/362,930.16
  6. Step 6: Final answer
    x = 278,479.97

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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.