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Finding the Fourth Proportional to 282,277.38, 389,005.81 and 277,089.84

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Solution

The fourth proportional to 282,277.38, 389,005.81 and 277,089.84 is: 381,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277.38 : 389,005.81 = 277,089.84 : x
  2. Step 2: Convert to fraction form
    282,277.38/389,005.81 = 277,089.84/x
  3. Step 3: Cross multiply
    282,277.38x = 389,005.81 × 277,089.84
  4. Step 4: Simplify right side
    282,277.38x = 107,789,557,651.97
  5. Step 5: Solve for x
    x = 107,789,557,651.97/282,277.38
  6. Step 6: Final answer
    x = 381,856.87

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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.