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Finding the Fourth Proportional to 509,784.73, 764,677.15 and 242,735.63

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Solution

The fourth proportional to 509,784.73, 764,677.15 and 242,735.63 is: 364,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,784.73 : 764,677.15 = 242,735.63 : x
  2. Step 2: Convert to fraction form
    509,784.73/764,677.15 = 242,735.63/x
  3. Step 3: Cross multiply
    509,784.73x = 764,677.15 × 242,735.63
  4. Step 4: Simplify right side
    509,784.73x = 185,614,385,321.63
  5. Step 5: Solve for x
    x = 185,614,385,321.63/509,784.73
  6. Step 6: Final answer
    x = 364,103.46

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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.