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Finding the Fourth Proportional to 273,003.40, 409,505.10 and 202,144.60

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Solution

The fourth proportional to 273,003.40, 409,505.10 and 202,144.60 is: 303,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,003.40 : 409,505.10 = 202,144.60 : x
  2. Step 2: Convert to fraction form
    273,003.40/409,505.10 = 202,144.60/x
  3. Step 3: Cross multiply
    273,003.40x = 409,505.10 × 202,144.60
  4. Step 4: Simplify right side
    273,003.40x = 82,779,244,637.46
  5. Step 5: Solve for x
    x = 82,779,244,637.46/273,003.40
  6. Step 6: Final answer
    x = 303,216.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.