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Finding the Fourth Proportional to 401,054.43, 601,600.09 and 164,231.03

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Solution

The fourth proportional to 401,054.43, 601,600.09 and 164,231.03 is: 246,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,054.43 : 601,600.09 = 164,231.03 : x
  2. Step 2: Convert to fraction form
    401,054.43/601,600.09 = 164,231.03/x
  3. Step 3: Cross multiply
    401,054.43x = 601,600.09 × 164,231.03
  4. Step 4: Simplify right side
    401,054.43x = 98,801,402,428.79
  5. Step 5: Solve for x
    x = 98,801,402,428.79/401,054.43
  6. Step 6: Final answer
    x = 246,354.10

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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.