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Finding the Fourth Proportional to 380,201.77, 524,795.34 and 219,164.44

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Solution

The fourth proportional to 380,201.77, 524,795.34 and 219,164.44 is: 302,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,201.77 : 524,795.34 = 219,164.44 : x
  2. Step 2: Convert to fraction form
    380,201.77/524,795.34 = 219,164.44/x
  3. Step 3: Cross multiply
    380,201.77x = 524,795.34 × 219,164.44
  4. Step 4: Simplify right side
    380,201.77x = 115,016,476,805.71
  5. Step 5: Solve for x
    x = 115,016,476,805.71/380,201.77
  6. Step 6: Final answer
    x = 302,514.31

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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.