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Finding the Fourth Proportional to 419,175.64, 628,757.22 and 103,632.46

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Solution

The fourth proportional to 419,175.64, 628,757.22 and 103,632.46 is: 155,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,175.64 : 628,757.22 = 103,632.46 : x
  2. Step 2: Convert to fraction form
    419,175.64/628,757.22 = 103,632.46/x
  3. Step 3: Cross multiply
    419,175.64x = 628,757.22 × 103,632.46
  4. Step 4: Simplify right side
    419,175.64x = 65,159,657,451.36
  5. Step 5: Solve for x
    x = 65,159,657,451.36/419,175.64
  6. Step 6: Final answer
    x = 155,447.15

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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.