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Finding the Fourth Proportional to 282,380.42, 389,692.96 and 167,630.96

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Solution

The fourth proportional to 282,380.42, 389,692.96 and 167,630.96 is: 231,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,380.42 : 389,692.96 = 167,630.96 : x
  2. Step 2: Convert to fraction form
    282,380.42/389,692.96 = 167,630.96/x
  3. Step 3: Cross multiply
    282,380.42x = 389,692.96 × 167,630.96
  4. Step 4: Simplify right side
    282,380.42x = 65,324,604,990.04
  5. Step 5: Solve for x
    x = 65,324,604,990.04/282,380.42
  6. Step 6: Final answer
    x = 231,335.46

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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.