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Finding the Fourth Proportional to 450,713.46, 622,405.98 and 289,847.82

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Solution

The fourth proportional to 450,713.46, 622,405.98 and 289,847.82 is: 400,260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,713.46 : 622,405.98 = 289,847.82 : x
  2. Step 2: Convert to fraction form
    450,713.46/622,405.98 = 289,847.82/x
  3. Step 3: Cross multiply
    450,713.46x = 622,405.98 × 289,847.82
  4. Step 4: Simplify right side
    450,713.46x = 180,403,016,457.96
  5. Step 5: Solve for x
    x = 180,403,016,457.96/450,713.46
  6. Step 6: Final answer
    x = 400,260.99

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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.