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Finding the Fourth Proportional to 533,027.89, 735,507.42 and 342,299.62

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Solution

The fourth proportional to 533,027.89, 735,507.42 and 342,299.62 is: 472,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,027.89 : 735,507.42 = 342,299.62 : x
  2. Step 2: Convert to fraction form
    533,027.89/735,507.42 = 342,299.62/x
  3. Step 3: Cross multiply
    533,027.89x = 735,507.42 × 342,299.62
  4. Step 4: Simplify right side
    533,027.89x = 251,763,906,695.64
  5. Step 5: Solve for x
    x = 251,763,906,695.64/533,027.89
  6. Step 6: Final answer
    x = 472,327.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.