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Finding the Fourth Proportional to 380,759.16, 525,441.34 and 208,675.80

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Solution

The fourth proportional to 380,759.16, 525,441.34 and 208,675.80 is: 287,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,759.16 : 525,441.34 = 208,675.80 : x
  2. Step 2: Convert to fraction form
    380,759.16/525,441.34 = 208,675.80/x
  3. Step 3: Cross multiply
    380,759.16x = 525,441.34 × 208,675.80
  4. Step 4: Simplify right side
    380,759.16x = 109,646,891,977.57
  5. Step 5: Solve for x
    x = 109,646,891,977.57/380,759.16
  6. Step 6: Final answer
    x = 287,969.15

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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.