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Finding the Fourth Proportional to 376,643.41, 519,771.65 and 204,564.73

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Solution

The fourth proportional to 376,643.41, 519,771.65 and 204,564.73 is: 282,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,643.41 : 519,771.65 = 204,564.73 : x
  2. Step 2: Convert to fraction form
    376,643.41/519,771.65 = 204,564.73/x
  3. Step 3: Cross multiply
    376,643.41x = 519,771.65 × 204,564.73
  4. Step 4: Simplify right side
    376,643.41x = 106,326,948,405.03
  5. Step 5: Solve for x
    x = 106,326,948,405.03/376,643.41
  6. Step 6: Final answer
    x = 282,301.37

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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.