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Finding the Fourth Proportional to 472,690.44, 709,035.30 and 140,266.44

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Solution

The fourth proportional to 472,690.44, 709,035.30 and 140,266.44 is: 210,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,690.44 : 709,035.30 = 140,266.44 : x
  2. Step 2: Convert to fraction form
    472,690.44/709,035.30 = 140,266.44/x
  3. Step 3: Cross multiply
    472,690.44x = 709,035.30 × 140,266.44
  4. Step 4: Simplify right side
    472,690.44x = 99,453,857,365.33
  5. Step 5: Solve for x
    x = 99,453,857,365.33/472,690.44
  6. Step 6: Final answer
    x = 210,399.55

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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.