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Finding the Fourth Proportional to 496,087.34, 744,461.89 and 180,544.14

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Solution

The fourth proportional to 496,087.34, 744,461.89 and 180,544.14 is: 270,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,087.34 : 744,461.89 = 180,544.14 : x
  2. Step 2: Convert to fraction form
    496,087.34/744,461.89 = 180,544.14/x
  3. Step 3: Cross multiply
    496,087.34x = 744,461.89 × 180,544.14
  4. Step 4: Simplify right side
    496,087.34x = 134,408,231,241.46
  5. Step 5: Solve for x
    x = 134,408,231,241.46/496,087.34
  6. Step 6: Final answer
    x = 270,936.63

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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.