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Finding the Fourth Proportional to 406,515.85, 560,984.59 and 225,224.14

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Solution

The fourth proportional to 406,515.85, 560,984.59 and 225,224.14 is: 310,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,515.85 : 560,984.59 = 225,224.14 : x
  2. Step 2: Convert to fraction form
    406,515.85/560,984.59 = 225,224.14/x
  3. Step 3: Cross multiply
    406,515.85x = 560,984.59 × 225,224.14
  4. Step 4: Simplify right side
    406,515.85x = 126,347,269,031.08
  5. Step 5: Solve for x
    x = 126,347,269,031.08/406,515.85
  6. Step 6: Final answer
    x = 310,805.28

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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.