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Finding the Fourth Proportional to 431,731.80, 646,722.90 and 244,524.60

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Solution

The fourth proportional to 431,731.80, 646,722.90 and 244,524.60 is: 366,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,731.80 : 646,722.90 = 244,524.60 : x
  2. Step 2: Convert to fraction form
    431,731.80/646,722.90 = 244,524.60/x
  3. Step 3: Cross multiply
    431,731.80x = 646,722.90 × 244,524.60
  4. Step 4: Simplify right side
    431,731.80x = 158,139,658,433.34
  5. Step 5: Solve for x
    x = 158,139,658,433.34/431,731.80
  6. Step 6: Final answer
    x = 366,291.43

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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.