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Finding the Fourth Proportional to 496,408.14, 744,728.85 and 141,427.26

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Solution

The fourth proportional to 496,408.14, 744,728.85 and 141,427.26 is: 212,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,408.14 : 744,728.85 = 141,427.26 : x
  2. Step 2: Convert to fraction form
    496,408.14/744,728.85 = 141,427.26/x
  3. Step 3: Cross multiply
    496,408.14x = 744,728.85 × 141,427.26
  4. Step 4: Simplify right side
    496,408.14x = 105,324,960,698.45
  5. Step 5: Solve for x
    x = 105,324,960,698.45/496,408.14
  6. Step 6: Final answer
    x = 212,174.12

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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.