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Finding the Fourth Proportional to 433,344.08, 650,097.48 and 196,703.40

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Solution

The fourth proportional to 433,344.08, 650,097.48 and 196,703.40 is: 295,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,344.08 : 650,097.48 = 196,703.40 : x
  2. Step 2: Convert to fraction form
    433,344.08/650,097.48 = 196,703.40/x
  3. Step 3: Cross multiply
    433,344.08x = 650,097.48 × 196,703.40
  4. Step 4: Simplify right side
    433,344.08x = 127,876,384,647.43
  5. Step 5: Solve for x
    x = 127,876,384,647.43/433,344.08
  6. Step 6: Final answer
    x = 295,092.03

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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.