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Finding the Fourth Proportional to 613,523.76, 920,378.52 and 192,760.08

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Solution

The fourth proportional to 613,523.76, 920,378.52 and 192,760.08 is: 289,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,523.76 : 920,378.52 = 192,760.08 : x
  2. Step 2: Convert to fraction form
    613,523.76/920,378.52 = 192,760.08/x
  3. Step 3: Cross multiply
    613,523.76x = 920,378.52 × 192,760.08
  4. Step 4: Simplify right side
    613,523.76x = 177,412,237,145.48
  5. Step 5: Solve for x
    x = 177,412,237,145.48/613,523.76
  6. Step 6: Final answer
    x = 289,169.30

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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.