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Finding the Fourth Proportional to 311,112.30, 466,765.32 and 111,434.41

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Solution

The fourth proportional to 311,112.30, 466,765.32 and 111,434.41 is: 167,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,112.30 : 466,765.32 = 111,434.41 : x
  2. Step 2: Convert to fraction form
    311,112.30/466,765.32 = 111,434.41/x
  3. Step 3: Cross multiply
    311,112.30x = 466,765.32 × 111,434.41
  4. Step 4: Simplify right side
    311,112.30x = 52,013,715,708.83
  5. Step 5: Solve for x
    x = 52,013,715,708.83/311,112.30
  6. Step 6: Final answer
    x = 167,186.30

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1.5x scale

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.