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Finding the Fourth Proportional to 415,944.78, 574,003.80 and 224,958.12

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Solution

The fourth proportional to 415,944.78, 574,003.80 and 224,958.12 is: 310,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,944.78 : 574,003.80 = 224,958.12 : x
  2. Step 2: Convert to fraction form
    415,944.78/574,003.80 = 224,958.12/x
  3. Step 3: Cross multiply
    415,944.78x = 574,003.80 × 224,958.12
  4. Step 4: Simplify right side
    415,944.78x = 129,126,815,720.86
  5. Step 5: Solve for x
    x = 129,126,815,720.86/415,944.78
  6. Step 6: Final answer
    x = 310,442.21

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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.