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Finding the Fourth Proportional to 276,462.63, 414,661.28 and 162,678.69

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Solution

The fourth proportional to 276,462.63, 414,661.28 and 162,678.69 is: 243,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,462.63 : 414,661.28 = 162,678.69 : x
  2. Step 2: Convert to fraction form
    276,462.63/414,661.28 = 162,678.69/x
  3. Step 3: Cross multiply
    276,462.63x = 414,661.28 × 162,678.69
  4. Step 4: Simplify right side
    276,462.63x = 67,456,553,010.73
  5. Step 5: Solve for x
    x = 67,456,553,010.73/276,462.63
  6. Step 6: Final answer
    x = 243,998.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.