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Finding the Fourth Proportional to 406,449.52, 560,900.24 and 225,173.22

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Solution

The fourth proportional to 406,449.52, 560,900.24 and 225,173.22 is: 310,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,449.52 : 560,900.24 = 225,173.22 : x
  2. Step 2: Convert to fraction form
    406,449.52/560,900.24 = 225,173.22/x
  3. Step 3: Cross multiply
    406,449.52x = 560,900.24 × 225,173.22
  4. Step 4: Simplify right side
    406,449.52x = 126,299,713,139.57
  5. Step 5: Solve for x
    x = 126,299,713,139.57/406,449.52
  6. Step 6: Final answer
    x = 310,738.99

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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.