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Finding the Fourth Proportional to 645,516.30, 890,201.01 and 413,016.75

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Solution

The fourth proportional to 645,516.30, 890,201.01 and 413,016.75 is: 569,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,516.30 : 890,201.01 = 413,016.75 : x
  2. Step 2: Convert to fraction form
    645,516.30/890,201.01 = 413,016.75/x
  3. Step 3: Cross multiply
    645,516.30x = 890,201.01 × 413,016.75
  4. Step 4: Simplify right side
    645,516.30x = 367,667,927,996.92
  5. Step 5: Solve for x
    x = 367,667,927,996.92/645,516.30
  6. Step 6: Final answer
    x = 569,571.87

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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.