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Finding the Fourth Proportional to 414,796.38, 622,285.29 and 134,341.98

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Solution

The fourth proportional to 414,796.38, 622,285.29 and 134,341.98 is: 201,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,796.38 : 622,285.29 = 134,341.98 : x
  2. Step 2: Convert to fraction form
    414,796.38/622,285.29 = 134,341.98/x
  3. Step 3: Cross multiply
    414,796.38x = 622,285.29 × 134,341.98
  4. Step 4: Simplify right side
    414,796.38x = 83,599,037,983.47
  5. Step 5: Solve for x
    x = 83,599,037,983.47/414,796.38
  6. Step 6: Final answer
    x = 201,542.35

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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.