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Finding the Fourth Proportional to 768,123.20, 1,151,839.20 and 294,651.20

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Solution

The fourth proportional to 768,123.20, 1,151,839.20 and 294,651.20 is: 441,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,123.20 : 1,151,839.20 = 294,651.20 : x
  2. Step 2: Convert to fraction form
    768,123.20/1,151,839.20 = 294,651.20/x
  3. Step 3: Cross multiply
    768,123.20x = 1,151,839.20 × 294,651.20
  4. Step 4: Simplify right side
    768,123.20x = 339,390,802,487.04
  5. Step 5: Solve for x
    x = 339,390,802,487.04/768,123.20
  6. Step 6: Final answer
    x = 441,844.23

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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.