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Finding the Fourth Proportional to 378,099.84, 521,787.42 and 208,334.10

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Solution

The fourth proportional to 378,099.84, 521,787.42 and 208,334.10 is: 287,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,099.84 : 521,787.42 = 208,334.10 : x
  2. Step 2: Convert to fraction form
    378,099.84/521,787.42 = 208,334.10/x
  3. Step 3: Cross multiply
    378,099.84x = 521,787.42 × 208,334.10
  4. Step 4: Simplify right side
    378,099.84x = 108,706,112,537.02
  5. Step 5: Solve for x
    x = 108,706,112,537.02/378,099.84
  6. Step 6: Final answer
    x = 287,506.37

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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.