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Finding the Fourth Proportional to 463,764.80, 695,535.20 and 193,747.01

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Solution

The fourth proportional to 463,764.80, 695,535.20 and 193,747.01 is: 290,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,764.80 : 695,535.20 = 193,747.01 : x
  2. Step 2: Convert to fraction form
    463,764.80/695,535.20 = 193,747.01/x
  3. Step 3: Cross multiply
    463,764.80x = 695,535.20 × 193,747.01
  4. Step 4: Simplify right side
    463,764.80x = 134,757,867,362.25
  5. Step 5: Solve for x
    x = 134,757,867,362.25/463,764.80
  6. Step 6: Final answer
    x = 290,573.73

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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.