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Finding the Fourth Proportional to 376,758.06, 519,926.58 and 204,676.14

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Solution

The fourth proportional to 376,758.06, 519,926.58 and 204,676.14 is: 282,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,758.06 : 519,926.58 = 204,676.14 : x
  2. Step 2: Convert to fraction form
    376,758.06/519,926.58 = 204,676.14/x
  3. Step 3: Cross multiply
    376,758.06x = 519,926.58 × 204,676.14
  4. Step 4: Simplify right side
    376,758.06x = 106,416,565,477.80
  5. Step 5: Solve for x
    x = 106,416,565,477.80/376,758.06
  6. Step 6: Final answer
    x = 282,453.32

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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.