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Finding the Fourth Proportional to 291,268.52, 401,924.93 and 162,197.24

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Solution

The fourth proportional to 291,268.52, 401,924.93 and 162,197.24 is: 223,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,268.52 : 401,924.93 = 162,197.24 : x
  2. Step 2: Convert to fraction form
    291,268.52/401,924.93 = 162,197.24/x
  3. Step 3: Cross multiply
    291,268.52x = 401,924.93 × 162,197.24
  4. Step 4: Simplify right side
    291,268.52x = 65,191,111,512.58
  5. Step 5: Solve for x
    x = 65,191,111,512.58/291,268.52
  6. Step 6: Final answer
    x = 223,817.91

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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.