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Finding the Fourth Proportional to 613,433.20, 920,149.80 and 313,814.20

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Solution

The fourth proportional to 613,433.20, 920,149.80 and 313,814.20 is: 470,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,433.20 : 920,149.80 = 313,814.20 : x
  2. Step 2: Convert to fraction form
    613,433.20/920,149.80 = 313,814.20/x
  3. Step 3: Cross multiply
    613,433.20x = 920,149.80 × 313,814.20
  4. Step 4: Simplify right side
    613,433.20x = 288,756,073,367.16
  5. Step 5: Solve for x
    x = 288,756,073,367.16/613,433.20
  6. Step 6: Final answer
    x = 470,721.30

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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.