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Finding the Fourth Proportional to 551,910.42, 827,705.73 and 214,875.96

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Solution

The fourth proportional to 551,910.42, 827,705.73 and 214,875.96 is: 322,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,910.42 : 827,705.73 = 214,875.96 : x
  2. Step 2: Convert to fraction form
    551,910.42/827,705.73 = 214,875.96/x
  3. Step 3: Cross multiply
    551,910.42x = 827,705.73 × 214,875.96
  4. Step 4: Simplify right side
    551,910.42x = 177,854,063,331.25
  5. Step 5: Solve for x
    x = 177,854,063,331.25/551,910.42
  6. Step 6: Final answer
    x = 322,251.69

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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.