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Finding the Fourth Proportional to 349,745.60, 524,229.60 and 192,087.20

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Solution

The fourth proportional to 349,745.60, 524,229.60 and 192,087.20 is: 287,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,745.60 : 524,229.60 = 192,087.20 : x
  2. Step 2: Convert to fraction form
    349,745.60/524,229.60 = 192,087.20/x
  3. Step 3: Cross multiply
    349,745.60x = 524,229.60 × 192,087.20
  4. Step 4: Simplify right side
    349,745.60x = 100,697,796,021.12
  5. Step 5: Solve for x
    x = 100,697,796,021.12/349,745.60
  6. Step 6: Final answer
    x = 287,917.26

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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.