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Finding the Fourth Proportional to 433,469.52, 650,460.96 and 196,808.52

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Solution

The fourth proportional to 433,469.52, 650,460.96 and 196,808.52 is: 295,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,469.52 : 650,460.96 = 196,808.52 : x
  2. Step 2: Convert to fraction form
    433,469.52/650,460.96 = 196,808.52/x
  3. Step 3: Cross multiply
    433,469.52x = 650,460.96 × 196,808.52
  4. Step 4: Simplify right side
    433,469.52x = 128,016,258,855.38
  5. Step 5: Solve for x
    x = 128,016,258,855.38/433,469.52
  6. Step 6: Final answer
    x = 295,329.32

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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.