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Finding the Fourth Proportional to 311,396.01, 429,796.44 and 203,903.61

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Solution

The fourth proportional to 311,396.01, 429,796.44 and 203,903.61 is: 281,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,396.01 : 429,796.44 = 203,903.61 : x
  2. Step 2: Convert to fraction form
    311,396.01/429,796.44 = 203,903.61/x
  3. Step 3: Cross multiply
    311,396.01x = 429,796.44 × 203,903.61
  4. Step 4: Simplify right side
    311,396.01x = 87,637,045,681.15
  5. Step 5: Solve for x
    x = 87,637,045,681.15/311,396.01
  6. Step 6: Final answer
    x = 281,432.78

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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.