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Finding the Fourth Proportional to 397,047.06, 547,958.53 and 218,236.18

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Solution

The fourth proportional to 397,047.06, 547,958.53 and 218,236.18 is: 301,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,047.06 : 547,958.53 = 218,236.18 : x
  2. Step 2: Convert to fraction form
    397,047.06/547,958.53 = 218,236.18/x
  3. Step 3: Cross multiply
    397,047.06x = 547,958.53 × 218,236.18
  4. Step 4: Simplify right side
    397,047.06x = 119,584,376,385.62
  5. Step 5: Solve for x
    x = 119,584,376,385.62/397,047.06
  6. Step 6: Final answer
    x = 301,184.39

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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.