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Finding the Fourth Proportional to 325,995.42, 450,021.06 and 205,314.06

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Solution

The fourth proportional to 325,995.42, 450,021.06 and 205,314.06 is: 283,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,995.42 : 450,021.06 = 205,314.06 : x
  2. Step 2: Convert to fraction form
    325,995.42/450,021.06 = 205,314.06/x
  3. Step 3: Cross multiply
    325,995.42x = 450,021.06 × 205,314.06
  4. Step 4: Simplify right side
    325,995.42x = 92,395,650,914.10
  5. Step 5: Solve for x
    x = 92,395,650,914.10/325,995.42
  6. Step 6: Final answer
    x = 283,426.22

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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.