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Finding the Fourth Proportional to 297,056.80, 409,938.49 and 161,090.71

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Solution

The fourth proportional to 297,056.80, 409,938.49 and 161,090.71 is: 222,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,056.80 : 409,938.49 = 161,090.71 : x
  2. Step 2: Convert to fraction form
    297,056.80/409,938.49 = 161,090.71/x
  3. Step 3: Cross multiply
    297,056.80x = 409,938.49 × 161,090.71
  4. Step 4: Simplify right side
    297,056.80x = 66,037,281,833.76
  5. Step 5: Solve for x
    x = 66,037,281,833.76/297,056.80
  6. Step 6: Final answer
    x = 222,305.23

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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.