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Finding the Fourth Proportional to 374,535.38, 516,858.82 and 204,769.50

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Solution

The fourth proportional to 374,535.38, 516,858.82 and 204,769.50 is: 282,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,535.38 : 516,858.82 = 204,769.50 : x
  2. Step 2: Convert to fraction form
    374,535.38/516,858.82 = 204,769.50/x
  3. Step 3: Cross multiply
    374,535.38x = 516,858.82 × 204,769.50
  4. Step 4: Simplify right side
    374,535.38x = 105,836,922,141.99
  5. Step 5: Solve for x
    x = 105,836,922,141.99/374,535.38
  6. Step 6: Final answer
    x = 282,581.91

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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.