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Finding the Fourth Proportional to 287,179.85, 396,430.72 and 204,447.16

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Solution

The fourth proportional to 287,179.85, 396,430.72 and 204,447.16 is: 282,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,179.85 : 396,430.72 = 204,447.16 : x
  2. Step 2: Convert to fraction form
    287,179.85/396,430.72 = 204,447.16/x
  3. Step 3: Cross multiply
    287,179.85x = 396,430.72 × 204,447.16
  4. Step 4: Simplify right side
    287,179.85x = 81,049,133,338.56
  5. Step 5: Solve for x
    x = 81,049,133,338.56/287,179.85
  6. Step 6: Final answer
    x = 282,224.30

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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.