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Finding the Fourth Proportional to 590,157.56, 814,372.98 and 335,459

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Solution

The fourth proportional to 590,157.56, 814,372.98 and 335,459 is: 462,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,157.56 : 814,372.98 = 335,459 : x
  2. Step 2: Convert to fraction form
    590,157.56/814,372.98 = 335,459/x
  3. Step 3: Cross multiply
    590,157.56x = 814,372.98 × 335,459
  4. Step 4: Simplify right side
    590,157.56x = 273,188,745,497.82
  5. Step 5: Solve for x
    x = 273,188,745,497.82/590,157.56
  6. Step 6: Final answer
    x = 462,908.15

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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.