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Finding the Fourth Proportional to 500,338.12, 690,453.14 and 285,474.28

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Solution

The fourth proportional to 500,338.12, 690,453.14 and 285,474.28 is: 393,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,338.12 : 690,453.14 = 285,474.28 : x
  2. Step 2: Convert to fraction form
    500,338.12/690,453.14 = 285,474.28/x
  3. Step 3: Cross multiply
    500,338.12x = 690,453.14 × 285,474.28
  4. Step 4: Simplify right side
    500,338.12x = 197,106,613,015.24
  5. Step 5: Solve for x
    x = 197,106,613,015.24/500,338.12
  6. Step 6: Final answer
    x = 393,946.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.