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Finding the Fourth Proportional to 295,223, 407,407.74 and 161,087

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Solution

The fourth proportional to 295,223, 407,407.74 and 161,087 is: 222,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,223 : 407,407.74 = 161,087 : x
  2. Step 2: Convert to fraction form
    295,223/407,407.74 = 161,087/x
  3. Step 3: Cross multiply
    295,223x = 407,407.74 × 161,087
  4. Step 4: Simplify right side
    295,223x = 65,628,090,613.38
  5. Step 5: Solve for x
    x = 65,628,090,613.38/295,223
  6. Step 6: Final answer
    x = 222,300.06

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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.