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Finding the Fourth Proportional to 590,507.84, 814,945.92 and 335,843.84

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Solution

The fourth proportional to 590,507.84, 814,945.92 and 335,843.84 is: 463,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,507.84 : 814,945.92 = 335,843.84 : x
  2. Step 2: Convert to fraction form
    590,507.84/814,945.92 = 335,843.84/x
  3. Step 3: Cross multiply
    590,507.84x = 814,945.92 × 335,843.84
  4. Step 4: Simplify right side
    590,507.84x = 273,694,567,165.13
  5. Step 5: Solve for x
    x = 273,694,567,165.13/590,507.84
  6. Step 6: Final answer
    x = 463,490.15

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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.