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Finding the Fourth Proportional to 297,377.63, 410,381.52 and 161,411.60

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Solution

The fourth proportional to 297,377.63, 410,381.52 and 161,411.60 is: 222,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,377.63 : 410,381.52 = 161,411.60 : x
  2. Step 2: Convert to fraction form
    297,377.63/410,381.52 = 161,411.60/x
  3. Step 3: Cross multiply
    297,377.63x = 410,381.52 × 161,411.60
  4. Step 4: Simplify right side
    297,377.63x = 66,240,339,082.23
  5. Step 5: Solve for x
    x = 66,240,339,082.23/297,377.63
  6. Step 6: Final answer
    x = 222,748.23

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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.