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Finding the Fourth Proportional to 375,057.28, 517,574.83 and 205,289.38

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Solution

The fourth proportional to 375,057.28, 517,574.83 and 205,289.38 is: 283,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,057.28 : 517,574.83 = 205,289.38 : x
  2. Step 2: Convert to fraction form
    375,057.28/517,574.83 = 205,289.38/x
  3. Step 3: Cross multiply
    375,057.28x = 517,574.83 × 205,289.38
  4. Step 4: Simplify right side
    375,057.28x = 106,252,615,954.31
  5. Step 5: Solve for x
    x = 106,252,615,954.31/375,057.28
  6. Step 6: Final answer
    x = 283,297.04

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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.