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Finding the Fourth Proportional to 512,113.17, 706,787.34 and 285,773.25

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Solution

The fourth proportional to 512,113.17, 706,787.34 and 285,773.25 is: 394,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,113.17 : 706,787.34 = 285,773.25 : x
  2. Step 2: Convert to fraction form
    512,113.17/706,787.34 = 285,773.25/x
  3. Step 3: Cross multiply
    512,113.17x = 706,787.34 × 285,773.25
  4. Step 4: Simplify right side
    512,113.17x = 201,980,915,210.66
  5. Step 5: Solve for x
    x = 201,980,915,210.66/512,113.17
  6. Step 6: Final answer
    x = 394,406.80

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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.