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Finding the Fourth Proportional to 406,404.52, 560,842.74 and 225,119.24

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Solution

The fourth proportional to 406,404.52, 560,842.74 and 225,119.24 is: 310,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,404.52 : 560,842.74 = 225,119.24 : x
  2. Step 2: Convert to fraction form
    406,404.52/560,842.74 = 225,119.24/x
  3. Step 3: Cross multiply
    406,404.52x = 560,842.74 × 225,119.24
  4. Step 4: Simplify right side
    406,404.52x = 126,256,491,388.32
  5. Step 5: Solve for x
    x = 126,256,491,388.32/406,404.52
  6. Step 6: Final answer
    x = 310,667.05

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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.