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Finding the Fourth Proportional to 401,448.40, 601,662.30 and 164,523.40

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Solution

The fourth proportional to 401,448.40, 601,662.30 and 164,523.40 is: 246,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,448.40 : 601,662.30 = 164,523.40 : x
  2. Step 2: Convert to fraction form
    401,448.40/601,662.30 = 164,523.40/x
  3. Step 3: Cross multiply
    401,448.40x = 601,662.30 × 164,523.40
  4. Step 4: Simplify right side
    401,448.40x = 98,987,527,247.82
  5. Step 5: Solve for x
    x = 98,987,527,247.82/401,448.40
  6. Step 6: Final answer
    x = 246,575.97

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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.