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Finding the Fourth Proportional to 401,451.75, 602,410.91 and 179,835.75

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Solution

The fourth proportional to 401,451.75, 602,410.91 and 179,835.75 is: 269,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,451.75 : 602,410.91 = 179,835.75 : x
  2. Step 2: Convert to fraction form
    401,451.75/602,410.91 = 179,835.75/x
  3. Step 3: Cross multiply
    401,451.75x = 602,410.91 × 179,835.75
  4. Step 4: Simplify right side
    401,451.75x = 108,335,016,908.85
  5. Step 5: Solve for x
    x = 108,335,016,908.85/401,451.75
  6. Step 6: Final answer
    x = 269,858.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.