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Finding the Fourth Proportional to 311,394.60, 467,207.10 and 101,039.40

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Solution

The fourth proportional to 311,394.60, 467,207.10 and 101,039.40 is: 151,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,394.60 : 467,207.10 = 101,039.40 : x
  2. Step 2: Convert to fraction form
    311,394.60/467,207.10 = 101,039.40/x
  3. Step 3: Cross multiply
    311,394.60x = 467,207.10 × 101,039.40
  4. Step 4: Simplify right side
    311,394.60x = 47,206,325,059.74
  5. Step 5: Solve for x
    x = 47,206,325,059.74/311,394.60
  6. Step 6: Final answer
    x = 151,596.48

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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.