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Finding the Fourth Proportional to 551,496.70, 827,269.35 and 311,607.10

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Solution

The fourth proportional to 551,496.70, 827,269.35 and 311,607.10 is: 467,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,496.70 : 827,269.35 = 311,607.10 : x
  2. Step 2: Convert to fraction form
    551,496.70/827,269.35 = 311,607.10/x
  3. Step 3: Cross multiply
    551,496.70x = 827,269.35 × 311,607.10
  4. Step 4: Simplify right side
    551,496.70x = 257,783,003,072.39
  5. Step 5: Solve for x
    x = 257,783,003,072.39/551,496.70
  6. Step 6: Final answer
    x = 467,424.38

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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.