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Finding the Fourth Proportional to 325,994.42, 450,019.68 and 205,313.06

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Solution

The fourth proportional to 325,994.42, 450,019.68 and 205,313.06 is: 283,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,994.42 : 450,019.68 = 205,313.06 : x
  2. Step 2: Convert to fraction form
    325,994.42/450,019.68 = 205,313.06/x
  3. Step 3: Cross multiply
    325,994.42x = 450,019.68 × 205,313.06
  4. Step 4: Simplify right side
    325,994.42x = 92,394,917,561.02
  5. Step 5: Solve for x
    x = 92,394,917,561.02/325,994.42
  6. Step 6: Final answer
    x = 283,424.84

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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.