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Finding the Fourth Proportional to 276,809.60, 415,214.40 and 252,315.20

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Solution

The fourth proportional to 276,809.60, 415,214.40 and 252,315.20 is: 378,472.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,809.60 : 415,214.40 = 252,315.20 : x
  2. Step 2: Convert to fraction form
    276,809.60/415,214.40 = 252,315.20/x
  3. Step 3: Cross multiply
    276,809.60x = 415,214.40 × 252,315.20
  4. Step 4: Simplify right side
    276,809.60x = 104,764,904,378.88
  5. Step 5: Solve for x
    x = 104,764,904,378.88/276,809.60
  6. Step 6: Final answer
    x = 378,472.80

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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.