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Finding the Fourth Proportional to 288,102.33, 397,578.92 and 167,254.83

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Solution

The fourth proportional to 288,102.33, 397,578.92 and 167,254.83 is: 230,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,102.33 : 397,578.92 = 167,254.83 : x
  2. Step 2: Convert to fraction form
    288,102.33/397,578.92 = 167,254.83/x
  3. Step 3: Cross multiply
    288,102.33x = 397,578.92 × 167,254.83
  4. Step 4: Simplify right side
    288,102.33x = 66,496,993,839.91
  5. Step 5: Solve for x
    x = 66,496,993,839.91/288,102.33
  6. Step 6: Final answer
    x = 230,810.33

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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.