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Finding the Fourth Proportional to 463,056, 694,583.99 and 305,247.54

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Solution

The fourth proportional to 463,056, 694,583.99 and 305,247.54 is: 457,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,056 : 694,583.99 = 305,247.54 : x
  2. Step 2: Convert to fraction form
    463,056/694,583.99 = 305,247.54/x
  3. Step 3: Cross multiply
    463,056x = 694,583.99 × 305,247.54
  4. Step 4: Simplify right side
    463,056x = 212,020,054,270.89
  5. Step 5: Solve for x
    x = 212,020,054,270.89/463,056
  6. Step 6: Final answer
    x = 457,871.30

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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.