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Finding the Fourth Proportional to 380,517.95, 525,467.76 and 284,858.57

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Solution

The fourth proportional to 380,517.95, 525,467.76 and 284,858.57 is: 393,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,517.95 : 525,467.76 = 284,858.57 : x
  2. Step 2: Convert to fraction form
    380,517.95/525,467.76 = 284,858.57/x
  3. Step 3: Cross multiply
    380,517.95x = 525,467.76 × 284,858.57
  4. Step 4: Simplify right side
    380,517.95x = 149,683,994,940.15
  5. Step 5: Solve for x
    x = 149,683,994,940.15/380,517.95
  6. Step 6: Final answer
    x = 393,369.07

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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.