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Finding the Fourth Proportional to 414,093.67, 621,140.20 and 133,610.92

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Solution

The fourth proportional to 414,093.67, 621,140.20 and 133,610.92 is: 200,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,093.67 : 621,140.20 = 133,610.92 : x
  2. Step 2: Convert to fraction form
    414,093.67/621,140.20 = 133,610.92/x
  3. Step 3: Cross multiply
    414,093.67x = 621,140.20 × 133,610.92
  4. Step 4: Simplify right side
    414,093.67x = 82,991,111,684.11
  5. Step 5: Solve for x
    x = 82,991,111,684.11/414,093.67
  6. Step 6: Final answer
    x = 200,416.28

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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.