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Finding the Fourth Proportional to 311,997.78, 430,557.03 and 176,060.61

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Solution

The fourth proportional to 311,997.78, 430,557.03 and 176,060.61 is: 242,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,997.78 : 430,557.03 = 176,060.61 : x
  2. Step 2: Convert to fraction form
    311,997.78/430,557.03 = 176,060.61/x
  3. Step 3: Cross multiply
    311,997.78x = 430,557.03 × 176,060.61
  4. Step 4: Simplify right side
    311,997.78x = 75,804,133,341.59
  5. Step 5: Solve for x
    x = 75,804,133,341.59/311,997.78
  6. Step 6: Final answer
    x = 242,963.69

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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.