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Finding the Fourth Proportional to 411,951, 568,501.02 and 233,103

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Solution

The fourth proportional to 411,951, 568,501.02 and 233,103 is: 321,687.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,951 : 568,501.02 = 233,103 : x
  2. Step 2: Convert to fraction form
    411,951/568,501.02 = 233,103/x
  3. Step 3: Cross multiply
    411,951x = 568,501.02 × 233,103
  4. Step 4: Simplify right side
    411,951x = 132,519,293,265.06
  5. Step 5: Solve for x
    x = 132,519,293,265.06/411,951
  6. Step 6: Final answer
    x = 321,687.03

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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.