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Finding the Fourth Proportional to 374,137.10, 516,300.81 and 204,371.90

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Solution

The fourth proportional to 374,137.10, 516,300.81 and 204,371.90 is: 282,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,137.10 : 516,300.81 = 204,371.90 : x
  2. Step 2: Convert to fraction form
    374,137.10/516,300.81 = 204,371.90/x
  3. Step 3: Cross multiply
    374,137.10x = 516,300.81 × 204,371.90
  4. Step 4: Simplify right side
    374,137.10x = 105,517,377,511.24
  5. Step 5: Solve for x
    x = 105,517,377,511.24/374,137.10
  6. Step 6: Final answer
    x = 282,028.64

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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.