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Finding the Fourth Proportional to 472,906.60, 709,446.30 and 192,452.20

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Solution

The fourth proportional to 472,906.60, 709,446.30 and 192,452.20 is: 288,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,906.60 : 709,446.30 = 192,452.20 : x
  2. Step 2: Convert to fraction form
    472,906.60/709,446.30 = 192,452.20/x
  3. Step 3: Cross multiply
    472,906.60x = 709,446.30 × 192,452.20
  4. Step 4: Simplify right side
    472,906.60x = 136,534,501,216.86
  5. Step 5: Solve for x
    x = 136,534,501,216.86/472,906.60
  6. Step 6: Final answer
    x = 288,713.46

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1.5x scale

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.