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Finding the Fourth Proportional to 274,153.16, 410,092.48 and 257,357

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Solution

The fourth proportional to 274,153.16, 410,092.48 and 257,357 is: 384,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,153.16 : 410,092.48 = 257,357 : x
  2. Step 2: Convert to fraction form
    274,153.16/410,092.48 = 257,357/x
  3. Step 3: Cross multiply
    274,153.16x = 410,092.48 × 257,357
  4. Step 4: Simplify right side
    274,153.16x = 105,540,170,375.36
  5. Step 5: Solve for x
    x = 105,540,170,375.36/274,153.16
  6. Step 6: Final answer
    x = 384,967.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.