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Finding the Fourth Proportional to 376,643.53, 519,771.83 and 204,564.86

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Solution

The fourth proportional to 376,643.53, 519,771.83 and 204,564.86 is: 282,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,643.53 : 519,771.83 = 204,564.86 : x
  2. Step 2: Convert to fraction form
    376,643.53/519,771.83 = 204,564.86/x
  3. Step 3: Cross multiply
    376,643.53x = 519,771.83 × 204,564.86
  4. Step 4: Simplify right side
    376,643.53x = 106,327,048,014.21
  5. Step 5: Solve for x
    x = 106,327,048,014.21/376,643.53
  6. Step 6: Final answer
    x = 282,301.54

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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.