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Finding the Fourth Proportional to 463,912.32, 694,686.96 and 305,661.12

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Solution

The fourth proportional to 463,912.32, 694,686.96 and 305,661.12 is: 457,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,912.32 : 694,686.96 = 305,661.12 : x
  2. Step 2: Convert to fraction form
    463,912.32/694,686.96 = 305,661.12/x
  3. Step 3: Cross multiply
    463,912.32x = 694,686.96 × 305,661.12
  4. Step 4: Simplify right side
    463,912.32x = 212,338,794,243.00
  5. Step 5: Solve for x
    x = 212,338,794,243.00/463,912.32
  6. Step 6: Final answer
    x = 457,713.20

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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.