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Finding the Fourth Proportional to 414,438.87, 571,892.94 and 233,114.70

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Solution

The fourth proportional to 414,438.87, 571,892.94 and 233,114.70 is: 321,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,438.87 : 571,892.94 = 233,114.70 : x
  2. Step 2: Convert to fraction form
    414,438.87/571,892.94 = 233,114.70/x
  3. Step 3: Cross multiply
    414,438.87x = 571,892.94 × 233,114.70
  4. Step 4: Simplify right side
    414,438.87x = 133,316,651,140.22
  5. Step 5: Solve for x
    x = 133,316,651,140.22/414,438.87
  6. Step 6: Final answer
    x = 321,679.89

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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.