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Finding the Fourth Proportional to 446,157.50, 667,824.41 and 286,019.42

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Solution

The fourth proportional to 446,157.50, 667,824.41 and 286,019.42 is: 428,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,157.50 : 667,824.41 = 286,019.42 : x
  2. Step 2: Convert to fraction form
    446,157.50/667,824.41 = 286,019.42/x
  3. Step 3: Cross multiply
    446,157.50x = 667,824.41 × 286,019.42
  4. Step 4: Simplify right side
    446,157.50x = 191,010,747,785.97
  5. Step 5: Solve for x
    x = 191,010,747,785.97/446,157.50
  6. Step 6: Final answer
    x = 428,124.04

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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.