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Finding the Fourth Proportional to 590,304.82, 814,616.82 and 335,656

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Solution

The fourth proportional to 590,304.82, 814,616.82 and 335,656 is: 463,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,304.82 : 814,616.82 = 335,656 : x
  2. Step 2: Convert to fraction form
    590,304.82/814,616.82 = 335,656/x
  3. Step 3: Cross multiply
    590,304.82x = 814,616.82 × 335,656
  4. Step 4: Simplify right side
    590,304.82x = 273,431,023,333.92
  5. Step 5: Solve for x
    x = 273,431,023,333.92/590,304.82
  6. Step 6: Final answer
    x = 463,203.10

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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.