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Finding the Fourth Proportional to 415,944.74, 574,003.72 and 224,958.12

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Solution

The fourth proportional to 415,944.74, 574,003.72 and 224,958.12 is: 310,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,944.74 : 574,003.72 = 224,958.12 : x
  2. Step 2: Convert to fraction form
    415,944.74/574,003.72 = 224,958.12/x
  3. Step 3: Cross multiply
    415,944.74x = 574,003.72 × 224,958.12
  4. Step 4: Simplify right side
    415,944.74x = 129,126,797,724.21
  5. Step 5: Solve for x
    x = 129,126,797,724.21/415,944.74
  6. Step 6: Final answer
    x = 310,442.19

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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.