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Finding the Fourth Proportional to 314,440.40, 471,142.20 and 261,563.60

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Solution

The fourth proportional to 314,440.40, 471,142.20 and 261,563.60 is: 391,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,440.40 : 471,142.20 = 261,563.60 : x
  2. Step 2: Convert to fraction form
    314,440.40/471,142.20 = 261,563.60/x
  3. Step 3: Cross multiply
    314,440.40x = 471,142.20 × 261,563.60
  4. Step 4: Simplify right side
    314,440.40x = 123,233,649,943.92
  5. Step 5: Solve for x
    x = 123,233,649,943.92/314,440.40
  6. Step 6: Final answer
    x = 391,914.17

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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.