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Finding the Fourth Proportional to 465,441.44, 642,153.77 and 261,464.05

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Solution

The fourth proportional to 465,441.44, 642,153.77 and 261,464.05 is: 360,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,441.44 : 642,153.77 = 261,464.05 : x
  2. Step 2: Convert to fraction form
    465,441.44/642,153.77 = 261,464.05/x
  3. Step 3: Cross multiply
    465,441.44x = 642,153.77 × 261,464.05
  4. Step 4: Simplify right side
    465,441.44x = 167,900,127,373.57
  5. Step 5: Solve for x
    x = 167,900,127,373.57/465,441.44
  6. Step 6: Final answer
    x = 360,733.09

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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.