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Finding the Fourth Proportional to 406,231.38, 560,592.44 and 224,939.42

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Solution

The fourth proportional to 406,231.38, 560,592.44 and 224,939.42 is: 310,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,231.38 : 560,592.44 = 224,939.42 : x
  2. Step 2: Convert to fraction form
    406,231.38/560,592.44 = 224,939.42/x
  3. Step 3: Cross multiply
    406,231.38x = 560,592.44 × 224,939.42
  4. Step 4: Simplify right side
    406,231.38x = 126,099,336,223.42
  5. Step 5: Solve for x
    x = 126,099,336,223.42/406,231.38
  6. Step 6: Final answer
    x = 310,412.59

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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.