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Finding the Fourth Proportional to 578,451.41, 866,168.09 and 465,514.73

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Solution

The fourth proportional to 578,451.41, 866,168.09 and 465,514.73 is: 697,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,451.41 : 866,168.09 = 465,514.73 : x
  2. Step 2: Convert to fraction form
    578,451.41/866,168.09 = 465,514.73/x
  3. Step 3: Cross multiply
    578,451.41x = 866,168.09 × 465,514.73
  4. Step 4: Simplify right side
    578,451.41x = 403,214,002,223.39
  5. Step 5: Solve for x
    x = 403,214,002,223.39/578,451.41
  6. Step 6: Final answer
    x = 697,057.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.