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Finding the Fourth Proportional to 401,163.71, 601,941.44 and 176,496.03

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Solution

The fourth proportional to 401,163.71, 601,941.44 and 176,496.03 is: 264,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,163.71 : 601,941.44 = 176,496.03 : x
  2. Step 2: Convert to fraction form
    401,163.71/601,941.44 = 176,496.03/x
  3. Step 3: Cross multiply
    401,163.71x = 601,941.44 × 176,496.03
  4. Step 4: Simplify right side
    401,163.71x = 106,240,274,893.72
  5. Step 5: Solve for x
    x = 106,240,274,893.72/401,163.71
  6. Step 6: Final answer
    x = 264,830.23

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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.