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Finding the Fourth Proportional to 310,365.20, 464,770.20 and 204,611.60

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Solution

The fourth proportional to 310,365.20, 464,770.20 and 204,611.60 is: 306,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,365.20 : 464,770.20 = 204,611.60 : x
  2. Step 2: Convert to fraction form
    310,365.20/464,770.20 = 204,611.60/x
  3. Step 3: Cross multiply
    310,365.20x = 464,770.20 × 204,611.60
  4. Step 4: Simplify right side
    310,365.20x = 95,097,374,254.32
  5. Step 5: Solve for x
    x = 95,097,374,254.32/310,365.20
  6. Step 6: Final answer
    x = 306,404.76

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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.