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Finding the Fourth Proportional to 311,735.50, 467,488.32 and 112,002.28

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Solution

The fourth proportional to 311,735.50, 467,488.32 and 112,002.28 is: 167,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,735.50 : 467,488.32 = 112,002.28 : x
  2. Step 2: Convert to fraction form
    311,735.50/467,488.32 = 112,002.28/x
  3. Step 3: Cross multiply
    311,735.50x = 467,488.32 × 112,002.28
  4. Step 4: Simplify right side
    311,735.50x = 52,359,757,713.37
  5. Step 5: Solve for x
    x = 52,359,757,713.37/311,735.50
  6. Step 6: Final answer
    x = 167,962.13

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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.