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Finding the Fourth Proportional to 406,004.24, 560,286.96 and 224,728.68

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Solution

The fourth proportional to 406,004.24, 560,286.96 and 224,728.68 is: 310,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,004.24 : 560,286.96 = 224,728.68 : x
  2. Step 2: Convert to fraction form
    406,004.24/560,286.96 = 224,728.68/x
  3. Step 3: Cross multiply
    406,004.24x = 560,286.96 × 224,728.68
  4. Step 4: Simplify right side
    406,004.24x = 125,912,548,942.01
  5. Step 5: Solve for x
    x = 125,912,548,942.01/406,004.24
  6. Step 6: Final answer
    x = 310,126.19

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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.