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Finding the Fourth Proportional to 297,594.49, 410,683.37 and 161,631.10

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Solution

The fourth proportional to 297,594.49, 410,683.37 and 161,631.10 is: 223,052.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,594.49 : 410,683.37 = 161,631.10 : x
  2. Step 2: Convert to fraction form
    297,594.49/410,683.37 = 161,631.10/x
  3. Step 3: Cross multiply
    297,594.49x = 410,683.37 × 161,631.10
  4. Step 4: Simplify right side
    297,594.49x = 66,379,202,239.91
  5. Step 5: Solve for x
    x = 66,379,202,239.91/297,594.49
  6. Step 6: Final answer
    x = 223,052.52

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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.