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Finding the Fourth Proportional to 509,938.56, 764,907.84 and 242,889.84

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Solution

The fourth proportional to 509,938.56, 764,907.84 and 242,889.84 is: 364,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,938.56 : 764,907.84 = 242,889.84 : x
  2. Step 2: Convert to fraction form
    509,938.56/764,907.84 = 242,889.84/x
  3. Step 3: Cross multiply
    509,938.56x = 764,907.84 × 242,889.84
  4. Step 4: Simplify right side
    509,938.56x = 185,788,342,872.35
  5. Step 5: Solve for x
    x = 185,788,342,872.35/509,938.56
  6. Step 6: Final answer
    x = 364,334.76

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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.