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Finding the Fourth Proportional to 322,867.51, 445,371.62 and 201,798.68

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Solution

The fourth proportional to 322,867.51, 445,371.62 and 201,798.68 is: 278,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,867.51 : 445,371.62 = 201,798.68 : x
  2. Step 2: Convert to fraction form
    322,867.51/445,371.62 = 201,798.68/x
  3. Step 3: Cross multiply
    322,867.51x = 445,371.62 × 201,798.68
  4. Step 4: Simplify right side
    322,867.51x = 89,875,405,025.46
  5. Step 5: Solve for x
    x = 89,875,405,025.46/322,867.51
  6. Step 6: Final answer
    x = 278,366.21

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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.