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Finding the Fourth Proportional to 560,589.20, 773,615.24 and 305,946

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Solution

The fourth proportional to 560,589.20, 773,615.24 and 305,946 is: 422,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,589.20 : 773,615.24 = 305,946 : x
  2. Step 2: Convert to fraction form
    560,589.20/773,615.24 = 305,946/x
  3. Step 3: Cross multiply
    560,589.20x = 773,615.24 × 305,946
  4. Step 4: Simplify right side
    560,589.20x = 236,684,488,217.04
  5. Step 5: Solve for x
    x = 236,684,488,217.04/560,589.20
  6. Step 6: Final answer
    x = 422,206.65

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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.