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Finding the Fourth Proportional to 433,255.27, 650,202.14 and 205,551.72

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Solution

The fourth proportional to 433,255.27, 650,202.14 and 205,551.72 is: 308,479.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,255.27 : 650,202.14 = 205,551.72 : x
  2. Step 2: Convert to fraction form
    433,255.27/650,202.14 = 205,551.72/x
  3. Step 3: Cross multiply
    433,255.27x = 650,202.14 × 205,551.72
  4. Step 4: Simplify right side
    433,255.27x = 133,650,168,224.68
  5. Step 5: Solve for x
    x = 133,650,168,224.68/433,255.27
  6. Step 6: Final answer
    x = 308,479.04

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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.