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Finding the Fourth Proportional to 510,123.61, 764,520.81 and 317,919.12

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Solution

The fourth proportional to 510,123.61, 764,520.81 and 317,919.12 is: 476,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,123.61 : 764,520.81 = 317,919.12 : x
  2. Step 2: Convert to fraction form
    510,123.61/764,520.81 = 317,919.12/x
  3. Step 3: Cross multiply
    510,123.61x = 764,520.81 × 317,919.12
  4. Step 4: Simplify right side
    510,123.61x = 243,055,783,136.89
  5. Step 5: Solve for x
    x = 243,055,783,136.89/510,123.61
  6. Step 6: Final answer
    x = 476,464.49

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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.