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Finding the Fourth Proportional to 269,792.20, 404,688.30 and 185,811.40

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Solution

The fourth proportional to 269,792.20, 404,688.30 and 185,811.40 is: 278,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,792.20 : 404,688.30 = 185,811.40 : x
  2. Step 2: Convert to fraction form
    269,792.20/404,688.30 = 185,811.40/x
  3. Step 3: Cross multiply
    269,792.20x = 404,688.30 × 185,811.40
  4. Step 4: Simplify right side
    269,792.20x = 75,195,699,586.62
  5. Step 5: Solve for x
    x = 75,195,699,586.62/269,792.20
  6. Step 6: Final answer
    x = 278,717.10

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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.