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Finding the Fourth Proportional to 329,489.86, 493,533.96 and 194,408.35

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Solution

The fourth proportional to 329,489.86, 493,533.96 and 194,408.35 is: 291,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,489.86 : 493,533.96 = 194,408.35 : x
  2. Step 2: Convert to fraction form
    329,489.86/493,533.96 = 194,408.35/x
  3. Step 3: Cross multiply
    329,489.86x = 493,533.96 × 194,408.35
  4. Step 4: Simplify right side
    329,489.86x = 95,947,122,832.57
  5. Step 5: Solve for x
    x = 95,947,122,832.57/329,489.86
  6. Step 6: Final answer
    x = 291,199.02

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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.