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Finding the Fourth Proportional to 380,618.73, 525,309.77 and 219,442.23

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Solution

The fourth proportional to 380,618.73, 525,309.77 and 219,442.23 is: 302,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,618.73 : 525,309.77 = 219,442.23 : x
  2. Step 2: Convert to fraction form
    380,618.73/525,309.77 = 219,442.23/x
  3. Step 3: Cross multiply
    380,618.73x = 525,309.77 × 219,442.23
  4. Step 4: Simplify right side
    380,618.73x = 115,275,147,918.19
  5. Step 5: Solve for x
    x = 115,275,147,918.19/380,618.73
  6. Step 6: Final answer
    x = 302,862.52

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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.