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Finding the Fourth Proportional to 590,286.53, 814,591.64 and 335,637.71

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Solution

The fourth proportional to 590,286.53, 814,591.64 and 335,637.71 is: 463,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,286.53 : 814,591.64 = 335,637.71 : x
  2. Step 2: Convert to fraction form
    590,286.53/814,591.64 = 335,637.71/x
  3. Step 3: Cross multiply
    590,286.53x = 814,591.64 × 335,637.71
  4. Step 4: Simplify right side
    590,286.53x = 273,407,666,883.60
  5. Step 5: Solve for x
    x = 273,407,666,883.60/590,286.53
  6. Step 6: Final answer
    x = 463,177.89

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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.