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Finding the Fourth Proportional to 270,581.77, 373,097.26 and 202,380.17

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Solution

The fourth proportional to 270,581.77, 373,097.26 and 202,380.17 is: 279,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,581.77 : 373,097.26 = 202,380.17 : x
  2. Step 2: Convert to fraction form
    270,581.77/373,097.26 = 202,380.17/x
  3. Step 3: Cross multiply
    270,581.77x = 373,097.26 × 202,380.17
  4. Step 4: Simplify right side
    270,581.77x = 75,507,486,905.33
  5. Step 5: Solve for x
    x = 75,507,486,905.33/270,581.77
  6. Step 6: Final answer
    x = 279,056.08

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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.