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Finding the Fourth Proportional to 414,114.30, 621,191.52 and 114,588.27

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Solution

The fourth proportional to 414,114.30, 621,191.52 and 114,588.27 is: 171,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,114.30 : 621,191.52 = 114,588.27 : x
  2. Step 2: Convert to fraction form
    414,114.30/621,191.52 = 114,588.27/x
  3. Step 3: Cross multiply
    414,114.30x = 621,191.52 × 114,588.27
  4. Step 4: Simplify right side
    414,114.30x = 71,181,261,615.47
  5. Step 5: Solve for x
    x = 71,181,261,615.47/414,114.30
  6. Step 6: Final answer
    x = 171,887.96

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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.