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Finding the Fourth Proportional to 421,842.71, 582,414.63 and 376,442.62

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Solution

The fourth proportional to 421,842.71, 582,414.63 and 376,442.62 is: 519,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,842.71 : 582,414.63 = 376,442.62 : x
  2. Step 2: Convert to fraction form
    421,842.71/582,414.63 = 376,442.62/x
  3. Step 3: Cross multiply
    421,842.71x = 582,414.63 × 376,442.62
  4. Step 4: Simplify right side
    421,842.71x = 219,245,689,243.53
  5. Step 5: Solve for x
    x = 219,245,689,243.53/421,842.71
  6. Step 6: Final answer
    x = 519,733.27

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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.