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Finding the Fourth Proportional to 590,227.56, 814,504.41 and 335,573.28

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Solution

The fourth proportional to 590,227.56, 814,504.41 and 335,573.28 is: 463,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,227.56 : 814,504.41 = 335,573.28 : x
  2. Step 2: Convert to fraction form
    590,227.56/814,504.41 = 335,573.28/x
  3. Step 3: Cross multiply
    590,227.56x = 814,504.41 × 335,573.28
  4. Step 4: Simplify right side
    590,227.56x = 273,325,916,438.17
  5. Step 5: Solve for x
    x = 273,325,916,438.17/590,227.56
  6. Step 6: Final answer
    x = 463,085.66

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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.