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Finding the Fourth Proportional to 613,412.80, 920,119.20 and 192,731.20

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Solution

The fourth proportional to 613,412.80, 920,119.20 and 192,731.20 is: 289,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,412.80 : 920,119.20 = 192,731.20 : x
  2. Step 2: Convert to fraction form
    613,412.80/920,119.20 = 192,731.20/x
  3. Step 3: Cross multiply
    613,412.80x = 920,119.20 × 192,731.20
  4. Step 4: Simplify right side
    613,412.80x = 177,335,677,559.04
  5. Step 5: Solve for x
    x = 177,335,677,559.04/613,412.80
  6. Step 6: Final answer
    x = 289,096.80

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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.