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Finding the Fourth Proportional to 551,493.10, 827,239.65 and 177,516.10

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Solution

The fourth proportional to 551,493.10, 827,239.65 and 177,516.10 is: 266,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,493.10 : 827,239.65 = 177,516.10 : x
  2. Step 2: Convert to fraction form
    551,493.10/827,239.65 = 177,516.10/x
  3. Step 3: Cross multiply
    551,493.10x = 827,239.65 × 177,516.10
  4. Step 4: Simplify right side
    551,493.10x = 146,848,356,433.37
  5. Step 5: Solve for x
    x = 146,848,356,433.37/551,493.10
  6. Step 6: Final answer
    x = 266,274.15

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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.