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Finding the Fourth Proportional to 411,859.30, 568,433.83 and 282,691.66

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Solution

The fourth proportional to 411,859.30, 568,433.83 and 282,691.66 is: 390,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,859.30 : 568,433.83 = 282,691.66 : x
  2. Step 2: Convert to fraction form
    411,859.30/568,433.83 = 282,691.66/x
  3. Step 3: Cross multiply
    411,859.30x = 568,433.83 × 282,691.66
  4. Step 4: Simplify right side
    411,859.30x = 160,691,500,160.69
  5. Step 5: Solve for x
    x = 160,691,500,160.69/411,859.30
  6. Step 6: Final answer
    x = 390,161.16

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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.