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Finding the Fourth Proportional to 414,834.63, 622,342.67 and 134,380.23

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Solution

The fourth proportional to 414,834.63, 622,342.67 and 134,380.23 is: 201,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,834.63 : 622,342.67 = 134,380.23 : x
  2. Step 2: Convert to fraction form
    414,834.63/622,342.67 = 134,380.23/x
  3. Step 3: Cross multiply
    414,834.63x = 622,342.67 × 134,380.23
  4. Step 4: Simplify right side
    414,834.63x = 83,630,550,461.51
  5. Step 5: Solve for x
    x = 83,630,550,461.51/414,834.63
  6. Step 6: Final answer
    x = 201,599.73

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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.