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Finding the Fourth Proportional to 296,753.12, 409,661.22 and 169,404.11

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Solution

The fourth proportional to 296,753.12, 409,661.22 and 169,404.11 is: 233,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,753.12 : 409,661.22 = 169,404.11 : x
  2. Step 2: Convert to fraction form
    296,753.12/409,661.22 = 169,404.11/x
  3. Step 3: Cross multiply
    296,753.12x = 409,661.22 × 169,404.11
  4. Step 4: Simplify right side
    296,753.12x = 69,398,294,375.61
  5. Step 5: Solve for x
    x = 69,398,294,375.61/296,753.12
  6. Step 6: Final answer
    x = 233,858.68

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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.