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Finding the Fourth Proportional to 401,806.26, 602,801.44 and 174,140.09

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Solution

The fourth proportional to 401,806.26, 602,801.44 and 174,140.09 is: 261,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,806.26 : 602,801.44 = 174,140.09 : x
  2. Step 2: Convert to fraction form
    401,806.26/602,801.44 = 174,140.09/x
  3. Step 3: Cross multiply
    401,806.26x = 602,801.44 × 174,140.09
  4. Step 4: Simplify right side
    401,806.26x = 104,971,893,564.37
  5. Step 5: Solve for x
    x = 104,971,893,564.37/401,806.26
  6. Step 6: Final answer
    x = 261,250.02

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