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Finding the Fourth Proportional to 376,141.96, 519,076.40 and 206,376.76

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Solution

The fourth proportional to 376,141.96, 519,076.40 and 206,376.76 is: 284,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,141.96 : 519,076.40 = 206,376.76 : x
  2. Step 2: Convert to fraction form
    376,141.96/519,076.40 = 206,376.76/x
  3. Step 3: Cross multiply
    376,141.96x = 519,076.40 × 206,376.76
  4. Step 4: Simplify right side
    376,141.96x = 107,125,305,624.46
  5. Step 5: Solve for x
    x = 107,125,305,624.46/376,141.96
  6. Step 6: Final answer
    x = 284,800.20

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1.5x scale

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.