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Finding the Fourth Proportional to 376,705.28, 519,852.89 and 204,623.38

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Solution

The fourth proportional to 376,705.28, 519,852.89 and 204,623.38 is: 282,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,705.28 : 519,852.89 = 204,623.38 : x
  2. Step 2: Convert to fraction form
    376,705.28/519,852.89 = 204,623.38/x
  3. Step 3: Cross multiply
    376,705.28x = 519,852.89 × 204,623.38
  4. Step 4: Simplify right side
    376,705.28x = 106,374,056,535.25
  5. Step 5: Solve for x
    x = 106,374,056,535.25/376,705.28
  6. Step 6: Final answer
    x = 282,380.05

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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.