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Finding the Fourth Proportional to 399,047.23, 550,696.92 and 217,770.89

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Solution

The fourth proportional to 399,047.23, 550,696.92 and 217,770.89 is: 300,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,047.23 : 550,696.92 = 217,770.89 : x
  2. Step 2: Convert to fraction form
    399,047.23/550,696.92 = 217,770.89/x
  3. Step 3: Cross multiply
    399,047.23x = 550,696.92 × 217,770.89
  4. Step 4: Simplify right side
    399,047.23x = 119,925,759,765.40
  5. Step 5: Solve for x
    x = 119,925,759,765.40/399,047.23
  6. Step 6: Final answer
    x = 300,530.24

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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.