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Finding the Fourth Proportional to 362,062.91, 499,639.24 and 200,916.65

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Solution

The fourth proportional to 362,062.91, 499,639.24 and 200,916.65 is: 277,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,062.91 : 499,639.24 = 200,916.65 : x
  2. Step 2: Convert to fraction form
    362,062.91/499,639.24 = 200,916.65/x
  3. Step 3: Cross multiply
    362,062.91x = 499,639.24 × 200,916.65
  4. Step 4: Simplify right side
    362,062.91x = 100,385,842,309.35
  5. Step 5: Solve for x
    x = 100,385,842,309.35/362,062.91
  6. Step 6: Final answer
    x = 277,260.77

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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.