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Finding the Fourth Proportional to 356,878.14, 492,494.28 and 195,734.34

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Solution

The fourth proportional to 356,878.14, 492,494.28 and 195,734.34 is: 270,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,878.14 : 492,494.28 = 195,734.34 : x
  2. Step 2: Convert to fraction form
    356,878.14/492,494.28 = 195,734.34/x
  3. Step 3: Cross multiply
    356,878.14x = 492,494.28 × 195,734.34
  4. Step 4: Simplify right side
    356,878.14x = 96,398,042,115.57
  5. Step 5: Solve for x
    x = 96,398,042,115.57/356,878.14
  6. Step 6: Final answer
    x = 270,114.73

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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.