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Finding the Fourth Proportional to 433,264.77, 650,216.42 and 205,561.23

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Solution

The fourth proportional to 433,264.77, 650,216.42 and 205,561.23 is: 308,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,264.77 : 650,216.42 = 205,561.23 : x
  2. Step 2: Convert to fraction form
    433,264.77/650,216.42 = 205,561.23/x
  3. Step 3: Cross multiply
    433,264.77x = 650,216.42 × 205,561.23
  4. Step 4: Simplify right side
    433,264.77x = 133,659,287,061.40
  5. Step 5: Solve for x
    x = 133,659,287,061.40/433,264.77
  6. Step 6: Final answer
    x = 308,493.32

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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.