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Finding the Fourth Proportional to 414,699.70, 622,148.26 and 134,216.94

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Solution

The fourth proportional to 414,699.70, 622,148.26 and 134,216.94 is: 201,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,699.70 : 622,148.26 = 134,216.94 : x
  2. Step 2: Convert to fraction form
    414,699.70/622,148.26 = 134,216.94/x
  3. Step 3: Cross multiply
    414,699.70x = 622,148.26 × 134,216.94
  4. Step 4: Simplify right side
    414,699.70x = 83,502,835,683.52
  5. Step 5: Solve for x
    x = 83,502,835,683.52/414,699.70
  6. Step 6: Final answer
    x = 201,357.36

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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.