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Finding the Fourth Proportional to 265,885.70, 367,057.59 and 205,320.38

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Solution

The fourth proportional to 265,885.70, 367,057.59 and 205,320.38 is: 283,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,885.70 : 367,057.59 = 205,320.38 : x
  2. Step 2: Convert to fraction form
    265,885.70/367,057.59 = 205,320.38/x
  3. Step 3: Cross multiply
    265,885.70x = 367,057.59 × 205,320.38
  4. Step 4: Simplify right side
    265,885.70x = 75,364,403,860.68
  5. Step 5: Solve for x
    x = 75,364,403,860.68/265,885.70
  6. Step 6: Final answer
    x = 283,446.62

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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.