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Finding the Fourth Proportional to 380,615.25, 525,249.09 and 210,860.31

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Solution

The fourth proportional to 380,615.25, 525,249.09 and 210,860.31 is: 290,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,615.25 : 525,249.09 = 210,860.31 : x
  2. Step 2: Convert to fraction form
    380,615.25/525,249.09 = 210,860.31/x
  3. Step 3: Cross multiply
    380,615.25x = 525,249.09 × 210,860.31
  4. Step 4: Simplify right side
    380,615.25x = 110,754,185,944.62
  5. Step 5: Solve for x
    x = 110,754,185,944.62/380,615.25
  6. Step 6: Final answer
    x = 290,987.25

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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.