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Finding the Fourth Proportional to 403,833.20, 605,093.70 and 347,408.60

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Solution

The fourth proportional to 403,833.20, 605,093.70 and 347,408.60 is: 520,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,833.20 : 605,093.70 = 347,408.60 : x
  2. Step 2: Convert to fraction form
    403,833.20/605,093.70 = 347,408.60/x
  3. Step 3: Cross multiply
    403,833.20x = 605,093.70 × 347,408.60
  4. Step 4: Simplify right side
    403,833.20x = 210,214,755,185.82
  5. Step 5: Solve for x
    x = 210,214,755,185.82/403,833.20
  6. Step 6: Final answer
    x = 520,548.47

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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.