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Finding the Fourth Proportional to 462,859.30, 693,833.50 and 270,489.56

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Solution

The fourth proportional to 462,859.30, 693,833.50 and 270,489.56 is: 405,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,859.30 : 693,833.50 = 270,489.56 : x
  2. Step 2: Convert to fraction form
    462,859.30/693,833.50 = 270,489.56/x
  3. Step 3: Cross multiply
    462,859.30x = 693,833.50 × 270,489.56
  4. Step 4: Simplify right side
    462,859.30x = 187,674,720,305.62
  5. Step 5: Solve for x
    x = 187,674,720,305.62/462,859.30
  6. Step 6: Final answer
    x = 405,468.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.