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Finding the Fourth Proportional to 296,001.88, 408,474.30 and 161,863

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Solution

The fourth proportional to 296,001.88, 408,474.30 and 161,863 is: 223,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,001.88 : 408,474.30 = 161,863 : x
  2. Step 2: Convert to fraction form
    296,001.88/408,474.30 = 161,863/x
  3. Step 3: Cross multiply
    296,001.88x = 408,474.30 × 161,863
  4. Step 4: Simplify right side
    296,001.88x = 66,116,875,620.90
  5. Step 5: Solve for x
    x = 66,116,875,620.90/296,001.88
  6. Step 6: Final answer
    x = 223,366.40

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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.