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Finding the Fourth Proportional to 414,224.72, 571,633.43 and 230,465.94

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Solution

The fourth proportional to 414,224.72, 571,633.43 and 230,465.94 is: 318,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,224.72 : 571,633.43 = 230,465.94 : x
  2. Step 2: Convert to fraction form
    414,224.72/571,633.43 = 230,465.94/x
  3. Step 3: Cross multiply
    414,224.72x = 571,633.43 × 230,465.94
  4. Step 4: Simplify right side
    414,224.72x = 131,742,034,628.05
  5. Step 5: Solve for x
    x = 131,742,034,628.05/414,224.72
  6. Step 6: Final answer
    x = 318,044.84

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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.