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Finding the Fourth Proportional to 590,342.99, 814,736.07 and 361,034.42

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Solution

The fourth proportional to 590,342.99, 814,736.07 and 361,034.42 is: 498,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,342.99 : 814,736.07 = 361,034.42 : x
  2. Step 2: Convert to fraction form
    590,342.99/814,736.07 = 361,034.42/x
  3. Step 3: Cross multiply
    590,342.99x = 814,736.07 × 361,034.42
  4. Step 4: Simplify right side
    590,342.99x = 294,147,760,411.85
  5. Step 5: Solve for x
    x = 294,147,760,411.85/590,342.99
  6. Step 6: Final answer
    x = 498,265.87

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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.