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Finding the Fourth Proportional to 509,780.38, 764,670.53 and 242,731.27

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Solution

The fourth proportional to 509,780.38, 764,670.53 and 242,731.27 is: 364,096.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,780.38 : 764,670.53 = 242,731.27 : x
  2. Step 2: Convert to fraction form
    509,780.38/764,670.53 = 242,731.27/x
  3. Step 3: Cross multiply
    509,780.38x = 764,670.53 × 242,731.27
  4. Step 4: Simplify right side
    509,780.38x = 185,609,451,226.41
  5. Step 5: Solve for x
    x = 185,609,451,226.41/509,780.38
  6. Step 6: Final answer
    x = 364,096.89

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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.