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Finding the Fourth Proportional to 500,077.44, 690,111.17 and 285,228.38

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Solution

The fourth proportional to 500,077.44, 690,111.17 and 285,228.38 is: 393,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,077.44 : 690,111.17 = 285,228.38 : x
  2. Step 2: Convert to fraction form
    500,077.44/690,111.17 = 285,228.38/x
  3. Step 3: Cross multiply
    500,077.44x = 690,111.17 × 285,228.38
  4. Step 4: Simplify right side
    500,077.44x = 196,839,291,338.14
  5. Step 5: Solve for x
    x = 196,839,291,338.14/500,077.44
  6. Step 6: Final answer
    x = 393,617.62

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Why These Related Problems?

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