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Finding the Fourth Proportional to 296,902, 409,713.78 and 160,933.02

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Solution

The fourth proportional to 296,902, 409,713.78 and 160,933.02 is: 222,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,902 : 409,713.78 = 160,933.02 : x
  2. Step 2: Convert to fraction form
    296,902/409,713.78 = 160,933.02/x
  3. Step 3: Cross multiply
    296,902x = 409,713.78 × 160,933.02
  4. Step 4: Simplify right side
    296,902x = 65,936,475,951.02
  5. Step 5: Solve for x
    x = 65,936,475,951.02/296,902
  6. Step 6: Final answer
    x = 222,081.62

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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.