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Finding the Fourth Proportional to 295,406.22, 407,658.50 and 161,270.22

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Solution

The fourth proportional to 295,406.22, 407,658.50 and 161,270.22 is: 222,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,406.22 : 407,658.50 = 161,270.22 : x
  2. Step 2: Convert to fraction form
    295,406.22/407,658.50 = 161,270.22/x
  3. Step 3: Cross multiply
    295,406.22x = 407,658.50 × 161,270.22
  4. Step 4: Simplify right side
    295,406.22x = 65,743,175,979.87
  5. Step 5: Solve for x
    x = 65,743,175,979.87/295,406.22
  6. Step 6: Final answer
    x = 222,551.77

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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.