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Finding the Fourth Proportional to 296,044.50, 408,551.13 and 161,908.50

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Solution

The fourth proportional to 296,044.50, 408,551.13 and 161,908.50 is: 223,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,044.50 : 408,551.13 = 161,908.50 : x
  2. Step 2: Convert to fraction form
    296,044.50/408,551.13 = 161,908.50/x
  3. Step 3: Cross multiply
    296,044.50x = 408,551.13 × 161,908.50
  4. Step 4: Simplify right side
    296,044.50x = 66,147,900,631.61
  5. Step 5: Solve for x
    x = 66,147,900,631.61/296,044.50
  6. Step 6: Final answer
    x = 223,439.05

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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.