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Finding the Fourth Proportional to 300,638.16, 413,936.46 and 255,222

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Solution

The fourth proportional to 300,638.16, 413,936.46 and 255,222 is: 351,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,638.16 : 413,936.46 = 255,222 : x
  2. Step 2: Convert to fraction form
    300,638.16/413,936.46 = 255,222/x
  3. Step 3: Cross multiply
    300,638.16x = 413,936.46 × 255,222
  4. Step 4: Simplify right side
    300,638.16x = 105,645,691,194.12
  5. Step 5: Solve for x
    x = 105,645,691,194.12/300,638.16
  6. Step 6: Final answer
    x = 351,404.80

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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.