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Finding the Fourth Proportional to 764,287.52, 1,146,434 and 231,813.12

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Solution

The fourth proportional to 764,287.52, 1,146,434 and 231,813.12 is: 347,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,287.52 : 1,146,434 = 231,813.12 : x
  2. Step 2: Convert to fraction form
    764,287.52/1,146,434 = 231,813.12/x
  3. Step 3: Cross multiply
    764,287.52x = 1,146,434 × 231,813.12
  4. Step 4: Simplify right side
    764,287.52x = 265,758,442,414.08
  5. Step 5: Solve for x
    x = 265,758,442,414.08/764,287.52
  6. Step 6: Final answer
    x = 347,720.50

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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.