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Finding the Fourth Proportional to 397,096.32, 547,995.84 and 215,808.96

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Solution

The fourth proportional to 397,096.32, 547,995.84 and 215,808.96 is: 297,817.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,096.32 : 547,995.84 = 215,808.96 : x
  2. Step 2: Convert to fraction form
    397,096.32/547,995.84 = 215,808.96/x
  3. Step 3: Cross multiply
    397,096.32x = 547,995.84 × 215,808.96
  4. Step 4: Simplify right side
    397,096.32x = 118,262,412,314.73
  5. Step 5: Solve for x
    x = 118,262,412,314.73/397,096.32
  6. Step 6: Final answer
    x = 297,817.95

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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.