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Finding the Fourth Proportional to 414,711.95, 621,697.47 and 161,933.63

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Solution

The fourth proportional to 414,711.95, 621,697.47 and 161,933.63 is: 242,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,711.95 : 621,697.47 = 161,933.63 : x
  2. Step 2: Convert to fraction form
    414,711.95/621,697.47 = 161,933.63/x
  3. Step 3: Cross multiply
    414,711.95x = 621,697.47 × 161,933.63
  4. Step 4: Simplify right side
    414,711.95x = 100,673,728,078.92
  5. Step 5: Solve for x
    x = 100,673,728,078.92/414,711.95
  6. Step 6: Final answer
    x = 242,755.79

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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.