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Finding the Fourth Proportional to 433,813.62, 650,853.33 and 194,129.21

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Solution

The fourth proportional to 433,813.62, 650,853.33 and 194,129.21 is: 291,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,813.62 : 650,853.33 = 194,129.21 : x
  2. Step 2: Convert to fraction form
    433,813.62/650,853.33 = 194,129.21/x
  3. Step 3: Cross multiply
    433,813.62x = 650,853.33 × 194,129.21
  4. Step 4: Simplify right side
    433,813.62x = 126,349,640,016.87
  5. Step 5: Solve for x
    x = 126,349,640,016.87/433,813.62
  6. Step 6: Final answer
    x = 291,253.28

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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.