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Finding the Fourth Proportional to 509,238.30, 764,023.29 and 242,964.39

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Solution

The fourth proportional to 509,238.30, 764,023.29 and 242,964.39 is: 364,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,238.30 : 764,023.29 = 242,964.39 : x
  2. Step 2: Convert to fraction form
    509,238.30/764,023.29 = 242,964.39/x
  3. Step 3: Cross multiply
    509,238.30x = 764,023.29 × 242,964.39
  4. Step 4: Simplify right side
    509,238.30x = 185,630,452,600.64
  5. Step 5: Solve for x
    x = 185,630,452,600.64/509,238.30
  6. Step 6: Final answer
    x = 364,525.71

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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.