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Finding the Fourth Proportional to 325,302.81, 448,864.31 and 204,358.44

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Solution

The fourth proportional to 325,302.81, 448,864.31 and 204,358.44 is: 281,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,302.81 : 448,864.31 = 204,358.44 : x
  2. Step 2: Convert to fraction form
    325,302.81/448,864.31 = 204,358.44/x
  3. Step 3: Cross multiply
    325,302.81x = 448,864.31 × 204,358.44
  4. Step 4: Simplify right side
    325,302.81x = 91,729,212,740.59
  5. Step 5: Solve for x
    x = 91,729,212,740.59/325,302.81
  6. Step 6: Final answer
    x = 281,981.00

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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.