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Finding the Fourth Proportional to 290,965.38, 401,472.02 and 170,083.29

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Solution

The fourth proportional to 290,965.38, 401,472.02 and 170,083.29 is: 234,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,965.38 : 401,472.02 = 170,083.29 : x
  2. Step 2: Convert to fraction form
    290,965.38/401,472.02 = 170,083.29/x
  3. Step 3: Cross multiply
    290,965.38x = 401,472.02 × 170,083.29
  4. Step 4: Simplify right side
    290,965.38x = 68,283,681,154.13
  5. Step 5: Solve for x
    x = 68,283,681,154.13/290,965.38
  6. Step 6: Final answer
    x = 234,679.74

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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.