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Finding the Fourth Proportional to 280,242.84, 420,434.67 and 80,563.59

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Solution

The fourth proportional to 280,242.84, 420,434.67 and 80,563.59 is: 120,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242.84 : 420,434.67 = 80,563.59 : x
  2. Step 2: Convert to fraction form
    280,242.84/420,434.67 = 80,563.59/x
  3. Step 3: Cross multiply
    280,242.84x = 420,434.67 × 80,563.59
  4. Step 4: Simplify right side
    280,242.84x = 33,871,726,375.67
  5. Step 5: Solve for x
    x = 33,871,726,375.67/280,242.84
  6. Step 6: Final answer
    x = 120,865.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.