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Finding the Fourth Proportional to 288,012.62, 397,393.82 and 167,083.84

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Solution

The fourth proportional to 288,012.62, 397,393.82 and 167,083.84 is: 230,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,012.62 : 397,393.82 = 167,083.84 : x
  2. Step 2: Convert to fraction form
    288,012.62/397,393.82 = 167,083.84/x
  3. Step 3: Cross multiply
    288,012.62x = 397,393.82 × 167,083.84
  4. Step 4: Simplify right side
    288,012.62x = 66,398,085,437.87
  5. Step 5: Solve for x
    x = 66,398,085,437.87/288,012.62
  6. Step 6: Final answer
    x = 230,538.81

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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.