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Finding the Fourth Proportional to 494,415, 741,182.67 and 178,801.74

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Solution

The fourth proportional to 494,415, 741,182.67 and 178,801.74 is: 268,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,415 : 741,182.67 = 178,801.74 : x
  2. Step 2: Convert to fraction form
    494,415/741,182.67 = 178,801.74/x
  3. Step 3: Cross multiply
    494,415x = 741,182.67 × 178,801.74
  4. Step 4: Simplify right side
    494,415x = 132,524,751,053.85
  5. Step 5: Solve for x
    x = 132,524,751,053.85/494,415
  6. Step 6: Final answer
    x = 268,043.55

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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.