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Finding the Fourth Proportional to 380,314.26, 524,813.70 and 208,199.25

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Solution

The fourth proportional to 380,314.26, 524,813.70 and 208,199.25 is: 287,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,314.26 : 524,813.70 = 208,199.25 : x
  2. Step 2: Convert to fraction form
    380,314.26/524,813.70 = 208,199.25/x
  3. Step 3: Cross multiply
    380,314.26x = 524,813.70 × 208,199.25
  4. Step 4: Simplify right side
    380,314.26x = 109,265,818,729.73
  5. Step 5: Solve for x
    x = 109,265,818,729.73/380,314.26
  6. Step 6: Final answer
    x = 287,304.03

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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.