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Finding the Fourth Proportional to 252,164.10, 378,246.15 and 234,449.40

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Solution

The fourth proportional to 252,164.10, 378,246.15 and 234,449.40 is: 351,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,164.10 : 378,246.15 = 234,449.40 : x
  2. Step 2: Convert to fraction form
    252,164.10/378,246.15 = 234,449.40/x
  3. Step 3: Cross multiply
    252,164.10x = 378,246.15 × 234,449.40
  4. Step 4: Simplify right side
    252,164.10x = 88,679,582,919.81
  5. Step 5: Solve for x
    x = 88,679,582,919.81/252,164.10
  6. Step 6: Final answer
    x = 351,674.10

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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.