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Finding the Fourth Proportional to 353,732.13, 488,194.46 and 200,819.83

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Solution

The fourth proportional to 353,732.13, 488,194.46 and 200,819.83 is: 277,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,732.13 : 488,194.46 = 200,819.83 : x
  2. Step 2: Convert to fraction form
    353,732.13/488,194.46 = 200,819.83/x
  3. Step 3: Cross multiply
    353,732.13x = 488,194.46 × 200,819.83
  4. Step 4: Simplify right side
    353,732.13x = 98,039,125,019.07
  5. Step 5: Solve for x
    x = 98,039,125,019.07/353,732.13
  6. Step 6: Final answer
    x = 277,156.40

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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.