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Finding the Fourth Proportional to 322,928.66, 445,641.57 and 186,969.71

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Solution

The fourth proportional to 322,928.66, 445,641.57 and 186,969.71 is: 258,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,928.66 : 445,641.57 = 186,969.71 : x
  2. Step 2: Convert to fraction form
    322,928.66/445,641.57 = 186,969.71/x
  3. Step 3: Cross multiply
    322,928.66x = 445,641.57 × 186,969.71
  4. Step 4: Simplify right side
    322,928.66x = 83,321,473,613.38
  5. Step 5: Solve for x
    x = 83,321,473,613.38/322,928.66
  6. Step 6: Final answer
    x = 258,018.21

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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.