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Finding the Fourth Proportional to 403,975.98, 605,969.22 and 193,564.68

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Solution

The fourth proportional to 403,975.98, 605,969.22 and 193,564.68 is: 290,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,975.98 : 605,969.22 = 193,564.68 : x
  2. Step 2: Convert to fraction form
    403,975.98/605,969.22 = 193,564.68/x
  3. Step 3: Cross multiply
    403,975.98x = 605,969.22 × 193,564.68
  4. Step 4: Simplify right side
    403,975.98x = 117,294,238,159.15
  5. Step 5: Solve for x
    x = 117,294,238,159.15/403,975.98
  6. Step 6: Final answer
    x = 290,349.54

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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.