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Finding the Fourth Proportional to 419,452.16, 629,030 and 135,131.24

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Solution

The fourth proportional to 419,452.16, 629,030 and 135,131.24 is: 202,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,452.16 : 629,030 = 135,131.24 : x
  2. Step 2: Convert to fraction form
    419,452.16/629,030 = 135,131.24/x
  3. Step 3: Cross multiply
    419,452.16x = 629,030 × 135,131.24
  4. Step 4: Simplify right side
    419,452.16x = 85,001,603,897.20
  5. Step 5: Solve for x
    x = 85,001,603,897.20/419,452.16
  6. Step 6: Final answer
    x = 202,649.10

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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.