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Finding the Fourth Proportional to 414,588.88, 572,161.56 and 233,318.16

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Solution

The fourth proportional to 414,588.88, 572,161.56 and 233,318.16 is: 321,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,588.88 : 572,161.56 = 233,318.16 : x
  2. Step 2: Convert to fraction form
    414,588.88/572,161.56 = 233,318.16/x
  3. Step 3: Cross multiply
    414,588.88x = 572,161.56 × 233,318.16
  4. Step 4: Simplify right side
    414,588.88x = 133,495,682,401.93
  5. Step 5: Solve for x
    x = 133,495,682,401.93/414,588.88
  6. Step 6: Final answer
    x = 321,995.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.