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Finding the Fourth Proportional to 414,919.30, 622,378.95 and 134,464.90

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Solution

The fourth proportional to 414,919.30, 622,378.95 and 134,464.90 is: 201,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,919.30 : 622,378.95 = 134,464.90 : x
  2. Step 2: Convert to fraction form
    414,919.30/622,378.95 = 134,464.90/x
  3. Step 3: Cross multiply
    414,919.30x = 622,378.95 × 134,464.90
  4. Step 4: Simplify right side
    414,919.30x = 83,688,123,273.86
  5. Step 5: Solve for x
    x = 83,688,123,273.86/414,919.30
  6. Step 6: Final answer
    x = 201,697.35

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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.