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Finding the Fourth Proportional to 415,979.85, 574,052.24 and 224,993.25

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Solution

The fourth proportional to 415,979.85, 574,052.24 and 224,993.25 is: 310,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,979.85 : 574,052.24 = 224,993.25 : x
  2. Step 2: Convert to fraction form
    415,979.85/574,052.24 = 224,993.25/x
  3. Step 3: Cross multiply
    415,979.85x = 574,052.24 × 224,993.25
  4. Step 4: Simplify right side
    415,979.85x = 129,157,879,147.38
  5. Step 5: Solve for x
    x = 129,157,879,147.38/415,979.85
  6. Step 6: Final answer
    x = 310,490.71

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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.