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Finding the Fourth Proportional to 219,874.30, 329,811.45 and 197,712.70

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Solution

The fourth proportional to 219,874.30, 329,811.45 and 197,712.70 is: 296,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,874.30 : 329,811.45 = 197,712.70 : x
  2. Step 2: Convert to fraction form
    219,874.30/329,811.45 = 197,712.70/x
  3. Step 3: Cross multiply
    219,874.30x = 329,811.45 × 197,712.70
  4. Step 4: Simplify right side
    219,874.30x = 65,207,912,270.42
  5. Step 5: Solve for x
    x = 65,207,912,270.42/219,874.30
  6. Step 6: Final answer
    x = 296,569.05

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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.