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Finding the Fourth Proportional to 509,938.56, 764,906.80 and 242,889.12

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Solution

The fourth proportional to 509,938.56, 764,906.80 and 242,889.12 is: 364,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,938.56 : 764,906.80 = 242,889.12 : x
  2. Step 2: Convert to fraction form
    509,938.56/764,906.80 = 242,889.12/x
  3. Step 3: Cross multiply
    509,938.56x = 764,906.80 × 242,889.12
  4. Step 4: Simplify right side
    509,938.56x = 185,787,539,534.02
  5. Step 5: Solve for x
    x = 185,787,539,534.02/509,938.56
  6. Step 6: Final answer
    x = 364,333.18

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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.