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Finding the Fourth Proportional to 416,452.08, 574,704.24 and 225,465.60

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Solution

The fourth proportional to 416,452.08, 574,704.24 and 225,465.60 is: 311,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,452.08 : 574,704.24 = 225,465.60 : x
  2. Step 2: Convert to fraction form
    416,452.08/574,704.24 = 225,465.60/x
  3. Step 3: Cross multiply
    416,452.08x = 574,704.24 × 225,465.60
  4. Step 4: Simplify right side
    416,452.08x = 129,576,036,294.14
  5. Step 5: Solve for x
    x = 129,576,036,294.14/416,452.08
  6. Step 6: Final answer
    x = 311,142.73

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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.