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Finding the Fourth Proportional to 366,201, 505,314.86 and 213,272.60

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Solution

The fourth proportional to 366,201, 505,314.86 and 213,272.60 is: 294,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,201 : 505,314.86 = 213,272.60 : x
  2. Step 2: Convert to fraction form
    366,201/505,314.86 = 213,272.60/x
  3. Step 3: Cross multiply
    366,201x = 505,314.86 × 213,272.60
  4. Step 4: Simplify right side
    366,201x = 107,769,810,417.90
  5. Step 5: Solve for x
    x = 107,769,810,417.90/366,201
  6. Step 6: Final answer
    x = 294,291.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.