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Finding the Fourth Proportional to 295,407.22, 407,659.88 and 161,271.22

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Solution

The fourth proportional to 295,407.22, 407,659.88 and 161,271.22 is: 222,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,407.22 : 407,659.88 = 161,271.22 : x
  2. Step 2: Convert to fraction form
    295,407.22/407,659.88 = 161,271.22/x
  3. Step 3: Cross multiply
    295,407.22x = 407,659.88 × 161,271.22
  4. Step 4: Simplify right side
    295,407.22x = 65,743,806,192.65
  5. Step 5: Solve for x
    x = 65,743,806,192.65/295,407.22
  6. Step 6: Final answer
    x = 222,553.15

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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.