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Finding the Fourth Proportional to 412,360.74, 568,287.24 and 321,572.91

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Solution

The fourth proportional to 412,360.74, 568,287.24 and 321,572.91 is: 443,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,360.74 : 568,287.24 = 321,572.91 : x
  2. Step 2: Convert to fraction form
    412,360.74/568,287.24 = 321,572.91/x
  3. Step 3: Cross multiply
    412,360.74x = 568,287.24 × 321,572.91
  4. Step 4: Simplify right side
    412,360.74x = 182,745,781,482.67
  5. Step 5: Solve for x
    x = 182,745,781,482.67/412,360.74
  6. Step 6: Final answer
    x = 443,169.69

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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.