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Finding the Fourth Proportional to 311,340.40, 466,797.20 and 111,656.48

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Solution

The fourth proportional to 311,340.40, 466,797.20 and 111,656.48 is: 167,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,340.40 : 466,797.20 = 111,656.48 : x
  2. Step 2: Convert to fraction form
    311,340.40/466,797.20 = 111,656.48/x
  3. Step 3: Cross multiply
    311,340.40x = 466,797.20 × 111,656.48
  4. Step 4: Simplify right side
    311,340.40x = 52,120,932,225.86
  5. Step 5: Solve for x
    x = 52,120,932,225.86/311,340.40
  6. Step 6: Final answer
    x = 167,408.19

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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.