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Finding the Fourth Proportional to 414,714.80, 622,072.20 and 134,433.20

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Solution

The fourth proportional to 414,714.80, 622,072.20 and 134,433.20 is: 201,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,714.80 : 622,072.20 = 134,433.20 : x
  2. Step 2: Convert to fraction form
    414,714.80/622,072.20 = 134,433.20/x
  3. Step 3: Cross multiply
    414,714.80x = 622,072.20 × 134,433.20
  4. Step 4: Simplify right side
    414,714.80x = 83,627,156,477.04
  5. Step 5: Solve for x
    x = 83,627,156,477.04/414,714.80
  6. Step 6: Final answer
    x = 201,649.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.