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Finding the Fourth Proportional to 376,748.70, 519,909.75 and 204,664.38

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Solution

The fourth proportional to 376,748.70, 519,909.75 and 204,664.38 is: 282,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,748.70 : 519,909.75 = 204,664.38 : x
  2. Step 2: Convert to fraction form
    376,748.70/519,909.75 = 204,664.38/x
  3. Step 3: Cross multiply
    376,748.70x = 519,909.75 × 204,664.38
  4. Step 4: Simplify right side
    376,748.70x = 106,407,006,639.71
  5. Step 5: Solve for x
    x = 106,407,006,639.71/376,748.70
  6. Step 6: Final answer
    x = 282,434.97

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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.