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Finding the Fourth Proportional to 414,702.94, 622,153.13 and 134,220.19

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Solution

The fourth proportional to 414,702.94, 622,153.13 and 134,220.19 is: 201,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,702.94 : 622,153.13 = 134,220.19 : x
  2. Step 2: Convert to fraction form
    414,702.94/622,153.13 = 134,220.19/x
  3. Step 3: Cross multiply
    414,702.94x = 622,153.13 × 134,220.19
  4. Step 4: Simplify right side
    414,702.94x = 83,505,511,317.69
  5. Step 5: Solve for x
    x = 83,505,511,317.69/414,702.94
  6. Step 6: Final answer
    x = 201,362.24

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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.