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Finding the Fourth Proportional to 357,787.80, 493,793.82 and 230,832.72

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Solution

The fourth proportional to 357,787.80, 493,793.82 and 230,832.72 is: 318,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,787.80 : 493,793.82 = 230,832.72 : x
  2. Step 2: Convert to fraction form
    357,787.80/493,793.82 = 230,832.72/x
  3. Step 3: Cross multiply
    357,787.80x = 493,793.82 × 230,832.72
  4. Step 4: Simplify right side
    357,787.80x = 113,983,770,589.79
  5. Step 5: Solve for x
    x = 113,983,770,589.79/357,787.80
  6. Step 6: Final answer
    x = 318,579.25

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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.