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Finding the Fourth Proportional to 289,863.10, 434,578.65 and 149,722.30

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Solution

The fourth proportional to 289,863.10, 434,578.65 and 149,722.30 is: 224,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,863.10 : 434,578.65 = 149,722.30 : x
  2. Step 2: Convert to fraction form
    289,863.10/434,578.65 = 149,722.30/x
  3. Step 3: Cross multiply
    289,863.10x = 434,578.65 × 149,722.30
  4. Step 4: Simplify right side
    289,863.10x = 65,066,115,008.90
  5. Step 5: Solve for x
    x = 65,066,115,008.90/289,863.10
  6. Step 6: Final answer
    x = 224,471.88

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