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Finding the Fourth Proportional to 406,243.53, 560,609.23 and 224,951.56

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Solution

The fourth proportional to 406,243.53, 560,609.23 and 224,951.56 is: 310,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,243.53 : 560,609.23 = 224,951.56 : x
  2. Step 2: Convert to fraction form
    406,243.53/560,609.23 = 224,951.56/x
  3. Step 3: Cross multiply
    406,243.53x = 560,609.23 × 224,951.56
  4. Step 4: Simplify right side
    406,243.53x = 126,109,920,276.52
  5. Step 5: Solve for x
    x = 126,109,920,276.52/406,243.53
  6. Step 6: Final answer
    x = 310,429.37

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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.