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Finding the Fourth Proportional to 228,415.20, 342,331.20 and 175,562.70

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Solution

The fourth proportional to 228,415.20, 342,331.20 and 175,562.70 is: 263,119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,415.20 : 342,331.20 = 175,562.70 : x
  2. Step 2: Convert to fraction form
    228,415.20/342,331.20 = 175,562.70/x
  3. Step 3: Cross multiply
    228,415.20x = 342,331.20 × 175,562.70
  4. Step 4: Simplify right side
    228,415.20x = 60,100,589,766.24
  5. Step 5: Solve for x
    x = 60,100,589,766.24/228,415.20
  6. Step 6: Final answer
    x = 263,119.92

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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.