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Finding the Fourth Proportional to 407,928.89, 611,720.29 and 194,449.83

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Solution

The fourth proportional to 407,928.89, 611,720.29 and 194,449.83 is: 291,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,928.89 : 611,720.29 = 194,449.83 : x
  2. Step 2: Convert to fraction form
    407,928.89/611,720.29 = 194,449.83/x
  3. Step 3: Cross multiply
    407,928.89x = 611,720.29 × 194,449.83
  4. Step 4: Simplify right side
    407,928.89x = 118,948,906,398.05
  5. Step 5: Solve for x
    x = 118,948,906,398.05/407,928.89
  6. Step 6: Final answer
    x = 291,592.26

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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.