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Finding the Fourth Proportional to 551,424.96, 827,134.38 and 214,699.86

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Solution

The fourth proportional to 551,424.96, 827,134.38 and 214,699.86 is: 322,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,424.96 : 827,134.38 = 214,699.86 : x
  2. Step 2: Convert to fraction form
    551,424.96/827,134.38 = 214,699.86/x
  3. Step 3: Cross multiply
    551,424.96x = 827,134.38 × 214,699.86
  4. Step 4: Simplify right side
    551,424.96x = 177,585,635,587.19
  5. Step 5: Solve for x
    x = 177,585,635,587.19/551,424.96
  6. Step 6: Final answer
    x = 322,048.60

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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.