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Finding the Fourth Proportional to 456,119.77, 629,418.17 and 252,158.48

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Solution

The fourth proportional to 456,119.77, 629,418.17 and 252,158.48 is: 347,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,119.77 : 629,418.17 = 252,158.48 : x
  2. Step 2: Convert to fraction form
    456,119.77/629,418.17 = 252,158.48/x
  3. Step 3: Cross multiply
    456,119.77x = 629,418.17 × 252,158.48
  4. Step 4: Simplify right side
    456,119.77x = 158,713,124,623.70
  5. Step 5: Solve for x
    x = 158,713,124,623.70/456,119.77
  6. Step 6: Final answer
    x = 347,963.70

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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.