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Finding the Fourth Proportional to 376,546.49, 519,618.60 and 204,457.71

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Solution

The fourth proportional to 376,546.49, 519,618.60 and 204,457.71 is: 282,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,546.49 : 519,618.60 = 204,457.71 : x
  2. Step 2: Convert to fraction form
    376,546.49/519,618.60 = 204,457.71/x
  3. Step 3: Cross multiply
    376,546.49x = 519,618.60 × 204,457.71
  4. Step 4: Simplify right side
    376,546.49x = 106,240,029,029.41
  5. Step 5: Solve for x
    x = 106,240,029,029.41/376,546.49
  6. Step 6: Final answer
    x = 282,143.20

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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.