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Finding the Fourth Proportional to 296,514.92, 409,160.04 and 169,166

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Solution

The fourth proportional to 296,514.92, 409,160.04 and 169,166 is: 233,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,514.92 : 409,160.04 = 169,166 : x
  2. Step 2: Convert to fraction form
    296,514.92/409,160.04 = 169,166/x
  3. Step 3: Cross multiply
    296,514.92x = 409,160.04 × 169,166
  4. Step 4: Simplify right side
    296,514.92x = 69,215,967,326.64
  5. Step 5: Solve for x
    x = 69,215,967,326.64/296,514.92
  6. Step 6: Final answer
    x = 233,431.65

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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.