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Finding the Fourth Proportional to 566,601.57, 782,612.31 and 411,305.01

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Solution

The fourth proportional to 566,601.57, 782,612.31 and 411,305.01 is: 568,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,601.57 : 782,612.31 = 411,305.01 : x
  2. Step 2: Convert to fraction form
    566,601.57/782,612.31 = 411,305.01/x
  3. Step 3: Cross multiply
    566,601.57x = 782,612.31 × 411,305.01
  4. Step 4: Simplify right side
    566,601.57x = 321,892,363,990.67
  5. Step 5: Solve for x
    x = 321,892,363,990.67/566,601.57
  6. Step 6: Final answer
    x = 568,110.61

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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.