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Finding the Fourth Proportional to 354,769.60, 532,305.60 and 186,419.20

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Solution

The fourth proportional to 354,769.60, 532,305.60 and 186,419.20 is: 279,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,769.60 : 532,305.60 = 186,419.20 : x
  2. Step 2: Convert to fraction form
    354,769.60/532,305.60 = 186,419.20/x
  3. Step 3: Cross multiply
    354,769.60x = 532,305.60 × 186,419.20
  4. Step 4: Simplify right side
    354,769.60x = 99,231,984,107.52
  5. Step 5: Solve for x
    x = 99,231,984,107.52/354,769.60
  6. Step 6: Final answer
    x = 279,708.25

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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.