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Finding the Fourth Proportional to 376,457.48, 519,512.34 and 206,702.60

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Solution

The fourth proportional to 376,457.48, 519,512.34 and 206,702.60 is: 285,250.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,457.48 : 519,512.34 = 206,702.60 : x
  2. Step 2: Convert to fraction form
    376,457.48/519,512.34 = 206,702.60/x
  3. Step 3: Cross multiply
    376,457.48x = 519,512.34 × 206,702.60
  4. Step 4: Simplify right side
    376,457.48x = 107,384,551,410.08
  5. Step 5: Solve for x
    x = 107,384,551,410.08/376,457.48
  6. Step 6: Final answer
    x = 285,250.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.