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Finding the Fourth Proportional to 349,175.43, 523,356.93 and 199,520.64

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Solution

The fourth proportional to 349,175.43, 523,356.93 and 199,520.64 is: 299,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,175.43 : 523,356.93 = 199,520.64 : x
  2. Step 2: Convert to fraction form
    349,175.43/523,356.93 = 199,520.64/x
  3. Step 3: Cross multiply
    349,175.43x = 523,356.93 × 199,520.64
  4. Step 4: Simplify right side
    349,175.43x = 104,420,509,622.04
  5. Step 5: Solve for x
    x = 104,420,509,622.04/349,175.43
  6. Step 6: Final answer
    x = 299,048.85

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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.