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Finding the Fourth Proportional to 375,767.41, 518,557.94 and 206,001.67

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Solution

The fourth proportional to 375,767.41, 518,557.94 and 206,001.67 is: 284,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,767.41 : 518,557.94 = 206,001.67 : x
  2. Step 2: Convert to fraction form
    375,767.41/518,557.94 = 206,001.67/x
  3. Step 3: Cross multiply
    375,767.41x = 518,557.94 × 206,001.67
  4. Step 4: Simplify right side
    375,767.41x = 106,823,800,601.75
  5. Step 5: Solve for x
    x = 106,823,800,601.75/375,767.41
  6. Step 6: Final answer
    x = 284,281.71

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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.