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Finding the Fourth Proportional to 352,732.88, 486,782.28 and 201,878.48

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Solution

The fourth proportional to 352,732.88, 486,782.28 and 201,878.48 is: 278,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,732.88 : 486,782.28 = 201,878.48 : x
  2. Step 2: Convert to fraction form
    352,732.88/486,782.28 = 201,878.48/x
  3. Step 3: Cross multiply
    352,732.88x = 486,782.28 × 201,878.48
  4. Step 4: Simplify right side
    352,732.88x = 98,270,866,777.33
  5. Step 5: Solve for x
    x = 98,270,866,777.33/352,732.88
  6. Step 6: Final answer
    x = 278,598.54

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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.