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Finding the Fourth Proportional to 463,858.38, 694,606.26 and 305,607.06

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Solution

The fourth proportional to 463,858.38, 694,606.26 and 305,607.06 is: 457,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,858.38 : 694,606.26 = 305,607.06 : x
  2. Step 2: Convert to fraction form
    463,858.38/694,606.26 = 305,607.06/x
  3. Step 3: Cross multiply
    463,858.38x = 694,606.26 × 305,607.06
  4. Step 4: Simplify right side
    463,858.38x = 212,276,576,976.20
  5. Step 5: Solve for x
    x = 212,276,576,976.20/463,858.38
  6. Step 6: Final answer
    x = 457,632.30

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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.