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Finding the Fourth Proportional to 414,697.69, 622,145.25 and 134,214.94

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Solution

The fourth proportional to 414,697.69, 622,145.25 and 134,214.94 is: 201,354.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,697.69 : 622,145.25 = 134,214.94 : x
  2. Step 2: Convert to fraction form
    414,697.69/622,145.25 = 134,214.94/x
  3. Step 3: Cross multiply
    414,697.69x = 622,145.25 × 134,214.94
  4. Step 4: Simplify right side
    414,697.69x = 83,501,187,400.04
  5. Step 5: Solve for x
    x = 83,501,187,400.04/414,697.69
  6. Step 6: Final answer
    x = 201,354.36

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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.