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Finding the Fourth Proportional to 431,822.56, 647,740.16 and 195,000.16

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Solution

The fourth proportional to 431,822.56, 647,740.16 and 195,000.16 is: 292,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,822.56 : 647,740.16 = 195,000.16 : x
  2. Step 2: Convert to fraction form
    431,822.56/647,740.16 = 195,000.16/x
  3. Step 3: Cross multiply
    431,822.56x = 647,740.16 × 195,000.16
  4. Step 4: Simplify right side
    431,822.56x = 126,309,434,838.43
  5. Step 5: Solve for x
    x = 126,309,434,838.43/431,822.56
  6. Step 6: Final answer
    x = 292,503.09

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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.