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Finding the Fourth Proportional to 282,382.74, 389,685.38 and 153,318.38

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Solution

The fourth proportional to 282,382.74, 389,685.38 and 153,318.38 is: 211,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,382.74 : 389,685.38 = 153,318.38 : x
  2. Step 2: Convert to fraction form
    282,382.74/389,685.38 = 153,318.38/x
  3. Step 3: Cross multiply
    282,382.74x = 389,685.38 × 153,318.38
  4. Step 4: Simplify right side
    282,382.74x = 59,745,928,456.27
  5. Step 5: Solve for x
    x = 59,745,928,456.27/282,382.74
  6. Step 6: Final answer
    x = 211,577.83

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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.