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Finding the Fourth Proportional to 472,834.20, 709,251.30 and 224,002.20

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Solution

The fourth proportional to 472,834.20, 709,251.30 and 224,002.20 is: 336,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,834.20 : 709,251.30 = 224,002.20 : x
  2. Step 2: Convert to fraction form
    472,834.20/709,251.30 = 224,002.20/x
  3. Step 3: Cross multiply
    472,834.20x = 709,251.30 × 224,002.20
  4. Step 4: Simplify right side
    472,834.20x = 158,873,851,552.86
  5. Step 5: Solve for x
    x = 158,873,851,552.86/472,834.20
  6. Step 6: Final answer
    x = 336,003.30

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Similar ratio
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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.