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Finding the Fourth Proportional to 297,594.87, 410,683.88 and 161,631.47

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Solution

The fourth proportional to 297,594.87, 410,683.88 and 161,631.47 is: 223,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,594.87 : 410,683.88 = 161,631.47 : x
  2. Step 2: Convert to fraction form
    297,594.87/410,683.88 = 161,631.47/x
  3. Step 3: Cross multiply
    297,594.87x = 410,683.88 × 161,631.47
  4. Step 4: Simplify right side
    297,594.87x = 66,379,440,660.49
  5. Step 5: Solve for x
    x = 66,379,440,660.49/297,594.87
  6. Step 6: Final answer
    x = 223,053.04

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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.