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Finding the Fourth Proportional to 408,066.10, 611,496.48 and 197,453.14

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Solution

The fourth proportional to 408,066.10, 611,496.48 and 197,453.14 is: 295,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,066.10 : 611,496.48 = 197,453.14 : x
  2. Step 2: Convert to fraction form
    408,066.10/611,496.48 = 197,453.14/x
  3. Step 3: Cross multiply
    408,066.10x = 611,496.48 × 197,453.14
  4. Step 4: Simplify right side
    408,066.10x = 120,741,900,074.95
  5. Step 5: Solve for x
    x = 120,741,900,074.95/408,066.10
  6. Step 6: Final answer
    x = 295,888.09

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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.