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Finding the Fourth Proportional to 280,303.30, 419,470.80 and 191,729.80

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Solution

The fourth proportional to 280,303.30, 419,470.80 and 191,729.80 is: 286,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,303.30 : 419,470.80 = 191,729.80 : x
  2. Step 2: Convert to fraction form
    280,303.30/419,470.80 = 191,729.80/x
  3. Step 3: Cross multiply
    280,303.30x = 419,470.80 × 191,729.80
  4. Step 4: Simplify right side
    280,303.30x = 80,425,052,589.84
  5. Step 5: Solve for x
    x = 80,425,052,589.84/280,303.30
  6. Step 6: Final answer
    x = 286,921.53

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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.