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Finding the Fourth Proportional to 252,446.40, 378,669.60 and 74,980.80

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Solution

The fourth proportional to 252,446.40, 378,669.60 and 74,980.80 is: 112,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,446.40 : 378,669.60 = 74,980.80 : x
  2. Step 2: Convert to fraction form
    252,446.40/378,669.60 = 74,980.80/x
  3. Step 3: Cross multiply
    252,446.40x = 378,669.60 × 74,980.80
  4. Step 4: Simplify right side
    252,446.40x = 28,392,949,543.68
  5. Step 5: Solve for x
    x = 28,392,949,543.68/252,446.40
  6. Step 6: Final answer
    x = 112,471.20

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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.