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Finding the Fourth Proportional to 551,898.82, 827,688.29 and 214,864.34

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Solution

The fourth proportional to 551,898.82, 827,688.29 and 214,864.34 is: 322,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,898.82 : 827,688.29 = 214,864.34 : x
  2. Step 2: Convert to fraction form
    551,898.82/827,688.29 = 214,864.34/x
  3. Step 3: Cross multiply
    551,898.82x = 827,688.29 × 214,864.34
  4. Step 4: Simplify right side
    551,898.82x = 177,840,692,943.82
  5. Step 5: Solve for x
    x = 177,840,692,943.82/551,898.82
  6. Step 6: Final answer
    x = 322,234.23

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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.