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Finding the Fourth Proportional to 416,183.64, 574,331.56 and 225,200.40

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Solution

The fourth proportional to 416,183.64, 574,331.56 and 225,200.40 is: 310,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,183.64 : 574,331.56 = 225,200.40 : x
  2. Step 2: Convert to fraction form
    416,183.64/574,331.56 = 225,200.40/x
  3. Step 3: Cross multiply
    416,183.64x = 574,331.56 × 225,200.40
  4. Step 4: Simplify right side
    416,183.64x = 129,339,697,044.62
  5. Step 5: Solve for x
    x = 129,339,697,044.62/416,183.64
  6. Step 6: Final answer
    x = 310,775.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.