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Finding the Fourth Proportional to 433,727.69, 650,335.86 and 202,661.07

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Solution

The fourth proportional to 433,727.69, 650,335.86 and 202,661.07 is: 303,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,727.69 : 650,335.86 = 202,661.07 : x
  2. Step 2: Convert to fraction form
    433,727.69/650,335.86 = 202,661.07/x
  3. Step 3: Cross multiply
    433,727.69x = 650,335.86 × 202,661.07
  4. Step 4: Simplify right side
    433,727.69x = 131,797,761,246.97
  5. Step 5: Solve for x
    x = 131,797,761,246.97/433,727.69
  6. Step 6: Final answer
    x = 303,872.14

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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.