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Finding the Fourth Proportional to 258,878.94, 356,947.26 and 177,246.78

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Solution

The fourth proportional to 258,878.94, 356,947.26 and 177,246.78 is: 244,391.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,878.94 : 356,947.26 = 177,246.78 : x
  2. Step 2: Convert to fraction form
    258,878.94/356,947.26 = 177,246.78/x
  3. Step 3: Cross multiply
    258,878.94x = 356,947.26 × 177,246.78
  4. Step 4: Simplify right side
    258,878.94x = 63,267,752,469.42
  5. Step 5: Solve for x
    x = 63,267,752,469.42/258,878.94
  6. Step 6: Final answer
    x = 244,391.26

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1.5x scale

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.