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Finding the Fourth Proportional to 294,480.38, 406,276.19 and 167,082.18

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Solution

The fourth proportional to 294,480.38, 406,276.19 and 167,082.18 is: 230,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,480.38 : 406,276.19 = 167,082.18 : x
  2. Step 2: Convert to fraction form
    294,480.38/406,276.19 = 167,082.18/x
  3. Step 3: Cross multiply
    294,480.38x = 406,276.19 × 167,082.18
  4. Step 4: Simplify right side
    294,480.38x = 67,881,511,507.29
  5. Step 5: Solve for x
    x = 67,881,511,507.29/294,480.38
  6. Step 6: Final answer
    x = 230,512.85

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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.