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Finding the Fourth Proportional to 322,953, 445,675.14 and 181,641

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Solution

The fourth proportional to 322,953, 445,675.14 and 181,641 is: 250,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,953 : 445,675.14 = 181,641 : x
  2. Step 2: Convert to fraction form
    322,953/445,675.14 = 181,641/x
  3. Step 3: Cross multiply
    322,953x = 445,675.14 × 181,641
  4. Step 4: Simplify right side
    322,953x = 80,952,878,104.74
  5. Step 5: Solve for x
    x = 80,952,878,104.74/322,953
  6. Step 6: Final answer
    x = 250,664.58

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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.