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Finding the Fourth Proportional to 442,215.94, 610,181.49 and 260,914.18

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Solution

The fourth proportional to 442,215.94, 610,181.49 and 260,914.18 is: 360,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,215.94 : 610,181.49 = 260,914.18 : x
  2. Step 2: Convert to fraction form
    442,215.94/610,181.49 = 260,914.18/x
  3. Step 3: Cross multiply
    442,215.94x = 610,181.49 × 260,914.18
  4. Step 4: Simplify right side
    442,215.94x = 159,205,003,114.53
  5. Step 5: Solve for x
    x = 159,205,003,114.53/442,215.94
  6. Step 6: Final answer
    x = 360,016.43

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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.