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Finding the Fourth Proportional to 282,331.30, 389,446 and 167,534.32

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Solution

The fourth proportional to 282,331.30, 389,446 and 167,534.32 is: 231,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,331.30 : 389,446 = 167,534.32 : x
  2. Step 2: Convert to fraction form
    282,331.30/389,446 = 167,534.32/x
  3. Step 3: Cross multiply
    282,331.30x = 389,446 × 167,534.32
  4. Step 4: Simplify right side
    282,331.30x = 65,245,570,786.72
  5. Step 5: Solve for x
    x = 65,245,570,786.72/282,331.30
  6. Step 6: Final answer
    x = 231,095.78

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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.