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Finding the Fourth Proportional to 296,782.28, 409,579.64 and 167,675.97

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Solution

The fourth proportional to 296,782.28, 409,579.64 and 167,675.97 is: 231,404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,782.28 : 409,579.64 = 167,675.97 : x
  2. Step 2: Convert to fraction form
    296,782.28/409,579.64 = 167,675.97/x
  3. Step 3: Cross multiply
    296,782.28x = 409,579.64 × 167,675.97
  4. Step 4: Simplify right side
    296,782.28x = 68,676,663,429.25
  5. Step 5: Solve for x
    x = 68,676,663,429.25/296,782.28
  6. Step 6: Final answer
    x = 231,404.19

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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.