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Finding the Fourth Proportional to 590,287.28, 814,592.67 and 335,638.46

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Solution

The fourth proportional to 590,287.28, 814,592.67 and 335,638.46 is: 463,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,287.28 : 814,592.67 = 335,638.46 : x
  2. Step 2: Convert to fraction form
    590,287.28/814,592.67 = 335,638.46/x
  3. Step 3: Cross multiply
    590,287.28x = 814,592.67 × 335,638.46
  4. Step 4: Simplify right side
    590,287.28x = 273,408,625,213.13
  5. Step 5: Solve for x
    x = 273,408,625,213.13/590,287.28
  6. Step 6: Final answer
    x = 463,178.92

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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.