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Finding the Fourth Proportional to 500,234.30, 690,425.43 and 339,141.14

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Solution

The fourth proportional to 500,234.30, 690,425.43 and 339,141.14 is: 468,083.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,234.30 : 690,425.43 = 339,141.14 : x
  2. Step 2: Convert to fraction form
    500,234.30/690,425.43 = 339,141.14/x
  3. Step 3: Cross multiply
    500,234.30x = 690,425.43 × 339,141.14
  4. Step 4: Simplify right side
    500,234.30x = 234,151,667,415.19
  5. Step 5: Solve for x
    x = 234,151,667,415.19/500,234.30
  6. Step 6: Final answer
    x = 468,083.99

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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.