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Finding the Fourth Proportional to 282,280.38, 389,009.95 and 277,092.84

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Solution

The fourth proportional to 282,280.38, 389,009.95 and 277,092.84 is: 381,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,280.38 : 389,009.95 = 277,092.84 : x
  2. Step 2: Convert to fraction form
    282,280.38/389,009.95 = 277,092.84/x
  3. Step 3: Cross multiply
    282,280.38x = 389,009.95 × 277,092.84
  4. Step 4: Simplify right side
    282,280.38x = 107,791,871,833.76
  5. Step 5: Solve for x
    x = 107,791,871,833.76/282,280.38
  6. Step 6: Final answer
    x = 381,861.01

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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.