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Finding the Fourth Proportional to 349,329.28, 523,620.20 and 180,679.80

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Solution

The fourth proportional to 349,329.28, 523,620.20 and 180,679.80 is: 270,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,329.28 : 523,620.20 = 180,679.80 : x
  2. Step 2: Convert to fraction form
    349,329.28/523,620.20 = 180,679.80/x
  3. Step 3: Cross multiply
    349,329.28x = 523,620.20 × 180,679.80
  4. Step 4: Simplify right side
    349,329.28x = 94,607,593,674.57
  5. Step 5: Solve for x
    x = 94,607,593,674.57/349,329.28
  6. Step 6: Final answer
    x = 270,826.41

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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.