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Finding the Fourth Proportional to 371,665.96, 512,873.52 and 201,896.44

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Solution

The fourth proportional to 371,665.96, 512,873.52 and 201,896.44 is: 278,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,665.96 : 512,873.52 = 201,896.44 : x
  2. Step 2: Convert to fraction form
    371,665.96/512,873.52 = 201,896.44/x
  3. Step 3: Cross multiply
    371,665.96x = 512,873.52 × 201,896.44
  4. Step 4: Simplify right side
    371,665.96x = 103,547,337,858.27
  5. Step 5: Solve for x
    x = 103,547,337,858.27/371,665.96
  6. Step 6: Final answer
    x = 278,603.23

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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.