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Finding the Fourth Proportional to 331,894.20, 497,841.30 and 219,701.10

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Solution

The fourth proportional to 331,894.20, 497,841.30 and 219,701.10 is: 329,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,894.20 : 497,841.30 = 219,701.10 : x
  2. Step 2: Convert to fraction form
    331,894.20/497,841.30 = 219,701.10/x
  3. Step 3: Cross multiply
    331,894.20x = 497,841.30 × 219,701.10
  4. Step 4: Simplify right side
    331,894.20x = 109,376,281,235.43
  5. Step 5: Solve for x
    x = 109,376,281,235.43/331,894.20
  6. Step 6: Final answer
    x = 329,551.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.