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Finding the Fourth Proportional to 207,645.40, 311,468.10 and 206,333.20

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Solution

The fourth proportional to 207,645.40, 311,468.10 and 206,333.20 is: 309,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,645.40 : 311,468.10 = 206,333.20 : x
  2. Step 2: Convert to fraction form
    207,645.40/311,468.10 = 206,333.20/x
  3. Step 3: Cross multiply
    207,645.40x = 311,468.10 × 206,333.20
  4. Step 4: Simplify right side
    207,645.40x = 64,266,209,770.92
  5. Step 5: Solve for x
    x = 64,266,209,770.92/207,645.40
  6. Step 6: Final answer
    x = 309,499.80

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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.