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Finding the Fourth Proportional to 365,390.29, 504,229.71 and 204,264.28

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Solution

The fourth proportional to 365,390.29, 504,229.71 and 204,264.28 is: 281,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,390.29 : 504,229.71 = 204,264.28 : x
  2. Step 2: Convert to fraction form
    365,390.29/504,229.71 = 204,264.28/x
  3. Step 3: Cross multiply
    365,390.29x = 504,229.71 × 204,264.28
  4. Step 4: Simplify right side
    365,390.29x = 102,996,118,915.05
  5. Step 5: Solve for x
    x = 102,996,118,915.05/365,390.29
  6. Step 6: Final answer
    x = 281,879.74

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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.