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Finding the Fourth Proportional to 291,268.01, 401,924.24 and 162,196.74

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Solution

The fourth proportional to 291,268.01, 401,924.24 and 162,196.74 is: 223,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,268.01 : 401,924.24 = 162,196.74 : x
  2. Step 2: Convert to fraction form
    291,268.01/401,924.24 = 162,196.74/x
  3. Step 3: Cross multiply
    291,268.01x = 401,924.24 × 162,196.74
  4. Step 4: Simplify right side
    291,268.01x = 65,190,801,454.98
  5. Step 5: Solve for x
    x = 65,190,801,454.98/291,268.01
  6. Step 6: Final answer
    x = 223,817.24

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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.