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Finding the Fourth Proportional to 273,213.60, 409,820.40 and 193,497.45

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Solution

The fourth proportional to 273,213.60, 409,820.40 and 193,497.45 is: 290,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,213.60 : 409,820.40 = 193,497.45 : x
  2. Step 2: Convert to fraction form
    273,213.60/409,820.40 = 193,497.45/x
  3. Step 3: Cross multiply
    273,213.60x = 409,820.40 × 193,497.45
  4. Step 4: Simplify right side
    273,213.60x = 79,299,202,357.98
  5. Step 5: Solve for x
    x = 79,299,202,357.98/273,213.60
  6. Step 6: Final answer
    x = 290,246.18

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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.