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Finding the Fourth Proportional to 374,535.36, 516,858.72 and 204,769.44

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Solution

The fourth proportional to 374,535.36, 516,858.72 and 204,769.44 is: 282,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,535.36 : 516,858.72 = 204,769.44 : x
  2. Step 2: Convert to fraction form
    374,535.36/516,858.72 = 204,769.44/x
  3. Step 3: Cross multiply
    374,535.36x = 516,858.72 × 204,769.44
  4. Step 4: Simplify right side
    374,535.36x = 105,836,870,653.52
  5. Step 5: Solve for x
    x = 105,836,870,653.52/374,535.36
  6. Step 6: Final answer
    x = 282,581.79

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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.