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Finding the Fourth Proportional to 411,930, 568,472.04 and 233,082

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Solution

The fourth proportional to 411,930, 568,472.04 and 233,082 is: 321,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,930 : 568,472.04 = 233,082 : x
  2. Step 2: Convert to fraction form
    411,930/568,472.04 = 233,082/x
  3. Step 3: Cross multiply
    411,930x = 568,472.04 × 233,082
  4. Step 4: Simplify right side
    411,930x = 132,500,600,027.28
  5. Step 5: Solve for x
    x = 132,500,600,027.28/411,930
  6. Step 6: Final answer
    x = 321,658.05

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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.