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Finding the Fourth Proportional to 296,554.82, 409,274.92 and 169,249.46

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Solution

The fourth proportional to 296,554.82, 409,274.92 and 169,249.46 is: 233,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,554.82 : 409,274.92 = 169,249.46 : x
  2. Step 2: Convert to fraction form
    296,554.82/409,274.92 = 169,249.46/x
  3. Step 3: Cross multiply
    296,554.82x = 409,274.92 × 169,249.46
  4. Step 4: Simplify right side
    296,554.82x = 69,269,556,732.05
  5. Step 5: Solve for x
    x = 69,269,556,732.05/296,554.82
  6. Step 6: Final answer
    x = 233,580.95

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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.