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Finding the Fourth Proportional to 295,224, 407,409.12 and 161,088

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Solution

The fourth proportional to 295,224, 407,409.12 and 161,088 is: 222,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,224 : 407,409.12 = 161,088 : x
  2. Step 2: Convert to fraction form
    295,224/407,409.12 = 161,088/x
  3. Step 3: Cross multiply
    295,224x = 407,409.12 × 161,088
  4. Step 4: Simplify right side
    295,224x = 65,628,720,322.56
  5. Step 5: Solve for x
    x = 65,628,720,322.56/295,224
  6. Step 6: Final answer
    x = 222,301.44

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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.