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Finding the Fourth Proportional to 827,235.82, 1,141,586.03 and 464,659.87

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Solution

The fourth proportional to 827,235.82, 1,141,586.03 and 464,659.87 is: 641,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,235.82 : 1,141,586.03 = 464,659.87 : x
  2. Step 2: Convert to fraction form
    827,235.82/1,141,586.03 = 464,659.87/x
  3. Step 3: Cross multiply
    827,235.82x = 1,141,586.03 × 464,659.87
  4. Step 4: Simplify right side
    827,235.82x = 530,449,216,293.62
  5. Step 5: Solve for x
    x = 530,449,216,293.62/827,235.82
  6. Step 6: Final answer
    x = 641,230.96

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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.