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Finding the Fourth Proportional to 291,224.46, 401,823.27 and 163,853.58

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Solution

The fourth proportional to 291,224.46, 401,823.27 and 163,853.58 is: 226,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,224.46 : 401,823.27 = 163,853.58 : x
  2. Step 2: Convert to fraction form
    291,224.46/401,823.27 = 163,853.58/x
  3. Step 3: Cross multiply
    291,224.46x = 401,823.27 × 163,853.58
  4. Step 4: Simplify right side
    291,224.46x = 65,840,181,316.81
  5. Step 5: Solve for x
    x = 65,840,181,316.81/291,224.46
  6. Step 6: Final answer
    x = 226,080.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.