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Finding the Fourth Proportional to 613,423.20, 920,163.60 and 192,712.80

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Solution

The fourth proportional to 613,423.20, 920,163.60 and 192,712.80 is: 289,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,423.20 : 920,163.60 = 192,712.80 : x
  2. Step 2: Convert to fraction form
    613,423.20/920,163.60 = 192,712.80/x
  3. Step 3: Cross multiply
    613,423.20x = 920,163.60 × 192,712.80
  4. Step 4: Simplify right side
    613,423.20x = 177,327,303,814.08
  5. Step 5: Solve for x
    x = 177,327,303,814.08/613,423.20
  6. Step 6: Final answer
    x = 289,078.25

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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.