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Finding the Fourth Proportional to 362,931.16, 500,857.61 and 201,793

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Solution

The fourth proportional to 362,931.16, 500,857.61 and 201,793 is: 278,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,931.16 : 500,857.61 = 201,793 : x
  2. Step 2: Convert to fraction form
    362,931.16/500,857.61 = 201,793/x
  3. Step 3: Cross multiply
    362,931.16x = 500,857.61 × 201,793
  4. Step 4: Simplify right side
    362,931.16x = 101,069,559,694.73
  5. Step 5: Solve for x
    x = 101,069,559,694.73/362,931.16
  6. Step 6: Final answer
    x = 278,481.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.