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Finding the Fourth Proportional to 310,118.46, 427,939.11 and 175,982.46

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Solution

The fourth proportional to 310,118.46, 427,939.11 and 175,982.46 is: 242,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,118.46 : 427,939.11 = 175,982.46 : x
  2. Step 2: Convert to fraction form
    310,118.46/427,939.11 = 175,982.46/x
  3. Step 3: Cross multiply
    310,118.46x = 427,939.11 × 175,982.46
  4. Step 4: Simplify right side
    310,118.46x = 75,309,777,308.01
  5. Step 5: Solve for x
    x = 75,309,777,308.01/310,118.46
  6. Step 6: Final answer
    x = 242,841.97

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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.