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Finding the Fourth Proportional to 311,431.68, 466,934.40 and 111,747.60

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Solution

The fourth proportional to 311,431.68, 466,934.40 and 111,747.60 is: 167,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,431.68 : 466,934.40 = 111,747.60 : x
  2. Step 2: Convert to fraction form
    311,431.68/466,934.40 = 111,747.60/x
  3. Step 3: Cross multiply
    311,431.68x = 466,934.40 × 111,747.60
  4. Step 4: Simplify right side
    311,431.68x = 52,178,798,557.44
  5. Step 5: Solve for x
    x = 52,178,798,557.44/311,431.68
  6. Step 6: Final answer
    x = 167,544.93

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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.