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Finding the Fourth Proportional to 258,846.88, 357,275.24 and 201,472.96

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Solution

The fourth proportional to 258,846.88, 357,275.24 and 201,472.96 is: 278,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,846.88 : 357,275.24 = 201,472.96 : x
  2. Step 2: Convert to fraction form
    258,846.88/357,275.24 = 201,472.96/x
  3. Step 3: Cross multiply
    258,846.88x = 357,275.24 × 201,472.96
  4. Step 4: Simplify right side
    258,846.88x = 71,981,300,137.51
  5. Step 5: Solve for x
    x = 71,981,300,137.51/258,846.88
  6. Step 6: Final answer
    x = 278,084.48

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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.