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Finding the Fourth Proportional to 590,165.37, 814,428.26 and 335,516.57

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Solution

The fourth proportional to 590,165.37, 814,428.26 and 335,516.57 is: 463,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,165.37 : 814,428.26 = 335,516.57 : x
  2. Step 2: Convert to fraction form
    590,165.37/814,428.26 = 335,516.57/x
  3. Step 3: Cross multiply
    590,165.37x = 814,428.26 × 335,516.57
  4. Step 4: Simplify right side
    590,165.37x = 273,254,170,556.54
  5. Step 5: Solve for x
    x = 273,254,170,556.54/590,165.37
  6. Step 6: Final answer
    x = 463,012.88

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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.