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Finding the Fourth Proportional to 406,085.28, 560,389.38 and 224,797.26

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Solution

The fourth proportional to 406,085.28, 560,389.38 and 224,797.26 is: 310,215.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,085.28 : 560,389.38 = 224,797.26 : x
  2. Step 2: Convert to fraction form
    406,085.28/560,389.38 = 224,797.26/x
  3. Step 3: Cross multiply
    406,085.28x = 560,389.38 × 224,797.26
  4. Step 4: Simplify right side
    406,085.28x = 125,973,997,157.10
  5. Step 5: Solve for x
    x = 125,973,997,157.10/406,085.28
  6. Step 6: Final answer
    x = 310,215.62

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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.