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Finding the Fourth Proportional to 433,247.80, 650,191.06 and 205,544.28

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Solution

The fourth proportional to 433,247.80, 650,191.06 and 205,544.28 is: 308,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,247.80 : 650,191.06 = 205,544.28 : x
  2. Step 2: Convert to fraction form
    433,247.80/650,191.06 = 205,544.28/x
  3. Step 3: Cross multiply
    433,247.80x = 650,191.06 × 205,544.28
  4. Step 4: Simplify right side
    433,247.80x = 133,643,053,290.14
  5. Step 5: Solve for x
    x = 133,643,053,290.14/433,247.80
  6. Step 6: Final answer
    x = 308,467.93

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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.