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Finding the Fourth Proportional to 362,382.30, 500,092.47 and 201,247.74

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Solution

The fourth proportional to 362,382.30, 500,092.47 and 201,247.74 is: 277,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,382.30 : 500,092.47 = 201,247.74 : x
  2. Step 2: Convert to fraction form
    362,382.30/500,092.47 = 201,247.74/x
  3. Step 3: Cross multiply
    362,382.30x = 500,092.47 × 201,247.74
  4. Step 4: Simplify right side
    362,382.30x = 100,642,479,378.52
  5. Step 5: Solve for x
    x = 100,642,479,378.52/362,382.30
  6. Step 6: Final answer
    x = 277,724.60

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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.