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Finding the Fourth Proportional to 322,596, 445,182.48 and 181,284

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Solution

The fourth proportional to 322,596, 445,182.48 and 181,284 is: 250,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,596 : 445,182.48 = 181,284 : x
  2. Step 2: Convert to fraction form
    322,596/445,182.48 = 181,284/x
  3. Step 3: Cross multiply
    322,596x = 445,182.48 × 181,284
  4. Step 4: Simplify right side
    322,596x = 80,704,460,704.32
  5. Step 5: Solve for x
    x = 80,704,460,704.32/322,596
  6. Step 6: Final answer
    x = 250,171.92

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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.