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Finding the Fourth Proportional to 362,894.56, 500,766.12 and 201,739.80

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Solution

The fourth proportional to 362,894.56, 500,766.12 and 201,739.80 is: 278,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,894.56 : 500,766.12 = 201,739.80 : x
  2. Step 2: Convert to fraction form
    362,894.56/500,766.12 = 201,739.80/x
  3. Step 3: Cross multiply
    362,894.56x = 500,766.12 × 201,739.80
  4. Step 4: Simplify right side
    362,894.56x = 101,024,456,895.58
  5. Step 5: Solve for x
    x = 101,024,456,895.58/362,894.56
  6. Step 6: Final answer
    x = 278,385.15

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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.