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Finding the Fourth Proportional to 310,034.20, 427,843.41 and 174,064.75

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Solution

The fourth proportional to 310,034.20, 427,843.41 and 174,064.75 is: 240,207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,034.20 : 427,843.41 = 174,064.75 : x
  2. Step 2: Convert to fraction form
    310,034.20/427,843.41 = 174,064.75/x
  3. Step 3: Cross multiply
    310,034.20x = 427,843.41 × 174,064.75
  4. Step 4: Simplify right side
    310,034.20x = 74,472,456,200.80
  5. Step 5: Solve for x
    x = 74,472,456,200.80/310,034.20
  6. Step 6: Final answer
    x = 240,207.23

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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.