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Finding the Fourth Proportional to 374,542.36, 516,868.38 and 204,776.44

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Solution

The fourth proportional to 374,542.36, 516,868.38 and 204,776.44 is: 282,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,542.36 : 516,868.38 = 204,776.44 : x
  2. Step 2: Convert to fraction form
    374,542.36/516,868.38 = 204,776.44/x
  3. Step 3: Cross multiply
    374,542.36x = 516,868.38 × 204,776.44
  4. Step 4: Simplify right side
    374,542.36x = 105,842,466,804.97
  5. Step 5: Solve for x
    x = 105,842,466,804.97/374,542.36
  6. Step 6: Final answer
    x = 282,591.45

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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.