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Finding the Fourth Proportional to 311,443.68, 467,087.76 and 101,141.76

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Solution

The fourth proportional to 311,443.68, 467,087.76 and 101,141.76 is: 151,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,443.68 : 467,087.76 = 101,141.76 : x
  2. Step 2: Convert to fraction form
    311,443.68/467,087.76 = 101,141.76/x
  3. Step 3: Cross multiply
    311,443.68x = 467,087.76 × 101,141.76
  4. Step 4: Simplify right side
    311,443.68x = 47,242,078,120.86
  5. Step 5: Solve for x
    x = 47,242,078,120.86/311,443.68
  6. Step 6: Final answer
    x = 151,687.39

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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.