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Finding the Fourth Proportional to 433,722.90, 650,806.71 and 209,274.73

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Solution

The fourth proportional to 433,722.90, 650,806.71 and 209,274.73 is: 314,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,722.90 : 650,806.71 = 209,274.73 : x
  2. Step 2: Convert to fraction form
    433,722.90/650,806.71 = 209,274.73/x
  3. Step 3: Cross multiply
    433,722.90x = 650,806.71 × 209,274.73
  4. Step 4: Simplify right side
    433,722.90x = 136,197,398,517.44
  5. Step 5: Solve for x
    x = 136,197,398,517.44/433,722.90
  6. Step 6: Final answer
    x = 314,019.39

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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.