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Finding the Fourth Proportional to 345,144.52, 476,331.60 and 201,895.48

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Solution

The fourth proportional to 345,144.52, 476,331.60 and 201,895.48 is: 278,634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,144.52 : 476,331.60 = 201,895.48 : x
  2. Step 2: Convert to fraction form
    345,144.52/476,331.60 = 201,895.48/x
  3. Step 3: Cross multiply
    345,144.52x = 476,331.60 × 201,895.48
  4. Step 4: Simplify right side
    345,144.52x = 96,169,197,021.17
  5. Step 5: Solve for x
    x = 96,169,197,021.17/345,144.52
  6. Step 6: Final answer
    x = 278,634.58

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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.