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Finding the Fourth Proportional to 590,305.82, 814,618.20 and 335,657

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Solution

The fourth proportional to 590,305.82, 814,618.20 and 335,657 is: 463,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,305.82 : 814,618.20 = 335,657 : x
  2. Step 2: Convert to fraction form
    590,305.82/814,618.20 = 335,657/x
  3. Step 3: Cross multiply
    590,305.82x = 814,618.20 × 335,657
  4. Step 4: Simplify right side
    590,305.82x = 273,432,301,157.40
  5. Step 5: Solve for x
    x = 273,432,301,157.40/590,305.82
  6. Step 6: Final answer
    x = 463,204.48

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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.