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Finding the Fourth Proportional to 312,261.68, 468,390.36 and 75,605.60

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Solution

The fourth proportional to 312,261.68, 468,390.36 and 75,605.60 is: 113,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,261.68 : 468,390.36 = 75,605.60 : x
  2. Step 2: Convert to fraction form
    312,261.68/468,390.36 = 75,605.60/x
  3. Step 3: Cross multiply
    312,261.68x = 468,390.36 × 75,605.60
  4. Step 4: Simplify right side
    312,261.68x = 35,412,934,202.02
  5. Step 5: Solve for x
    x = 35,412,934,202.02/312,261.68
  6. Step 6: Final answer
    x = 113,407.88

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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.