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Finding the Fourth Proportional to 367,234.32, 506,787.12 and 203,893.50

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Solution

The fourth proportional to 367,234.32, 506,787.12 and 203,893.50 is: 281,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,234.32 : 506,787.12 = 203,893.50 : x
  2. Step 2: Convert to fraction form
    367,234.32/506,787.12 = 203,893.50/x
  3. Step 3: Cross multiply
    367,234.32x = 506,787.12 × 203,893.50
  4. Step 4: Simplify right side
    367,234.32x = 103,330,599,651.72
  5. Step 5: Solve for x
    x = 103,330,599,651.72/367,234.32
  6. Step 6: Final answer
    x = 281,375.12

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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.