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Finding the Fourth Proportional to 252,348.27, 378,464.00 and 74,812.47

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Solution

The fourth proportional to 252,348.27, 378,464.00 and 74,812.47 is: 112,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,348.27 : 378,464.00 = 74,812.47 : x
  2. Step 2: Convert to fraction form
    252,348.27/378,464.00 = 74,812.47/x
  3. Step 3: Cross multiply
    252,348.27x = 378,464.00 × 74,812.47
  4. Step 4: Simplify right side
    252,348.27x = 28,313,826,272.02
  5. Step 5: Solve for x
    x = 28,313,826,272.02/252,348.27
  6. Step 6: Final answer
    x = 112,201.39

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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.