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Finding the Fourth Proportional to 349,753, 482,659.14 and 190,777

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Solution

The fourth proportional to 349,753, 482,659.14 and 190,777 is: 263,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,753 : 482,659.14 = 190,777 : x
  2. Step 2: Convert to fraction form
    349,753/482,659.14 = 190,777/x
  3. Step 3: Cross multiply
    349,753x = 482,659.14 × 190,777
  4. Step 4: Simplify right side
    349,753x = 92,080,262,751.78
  5. Step 5: Solve for x
    x = 92,080,262,751.78/349,753
  6. Step 6: Final answer
    x = 263,272.26

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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.