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Finding the Fourth Proportional to 406,186.97, 560,499.10 and 224,892.27

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Solution

The fourth proportional to 406,186.97, 560,499.10 and 224,892.27 is: 310,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,186.97 : 560,499.10 = 224,892.27 : x
  2. Step 2: Convert to fraction form
    406,186.97/560,499.10 = 224,892.27/x
  3. Step 3: Cross multiply
    406,186.97x = 560,499.10 × 224,892.27
  4. Step 4: Simplify right side
    406,186.97x = 126,051,914,369.73
  5. Step 5: Solve for x
    x = 126,051,914,369.73/406,186.97
  6. Step 6: Final answer
    x = 310,329.79

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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.