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Finding the Fourth Proportional to 380,175.72, 524,641.10 and 205,745.57

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Solution

The fourth proportional to 380,175.72, 524,641.10 and 205,745.57 is: 283,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,175.72 : 524,641.10 = 205,745.57 : x
  2. Step 2: Convert to fraction form
    380,175.72/524,641.10 = 205,745.57/x
  3. Step 3: Cross multiply
    380,175.72x = 524,641.10 × 205,745.57
  4. Step 4: Simplify right side
    380,175.72x = 107,942,578,512.99
  5. Step 5: Solve for x
    x = 107,942,578,512.99/380,175.72
  6. Step 6: Final answer
    x = 283,928.12

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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.