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Finding the Fourth Proportional to 414,309.36, 571,741.28 and 233,021.24

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Solution

The fourth proportional to 414,309.36, 571,741.28 and 233,021.24 is: 321,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,309.36 : 571,741.28 = 233,021.24 : x
  2. Step 2: Convert to fraction form
    414,309.36/571,741.28 = 233,021.24/x
  3. Step 3: Cross multiply
    414,309.36x = 571,741.28 × 233,021.24
  4. Step 4: Simplify right side
    414,309.36x = 133,227,859,648.98
  5. Step 5: Solve for x
    x = 133,227,859,648.98/414,309.36
  6. Step 6: Final answer
    x = 321,566.14

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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.