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Finding the Fourth Proportional to 322,411.21, 444,892.14 and 186,424.58

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Solution

The fourth proportional to 322,411.21, 444,892.14 and 186,424.58 is: 257,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,411.21 : 444,892.14 = 186,424.58 : x
  2. Step 2: Convert to fraction form
    322,411.21/444,892.14 = 186,424.58/x
  3. Step 3: Cross multiply
    322,411.21x = 444,892.14 × 186,424.58
  4. Step 4: Simplify right side
    322,411.21x = 82,938,828,954.51
  5. Step 5: Solve for x
    x = 82,938,828,954.51/322,411.21
  6. Step 6: Final answer
    x = 257,245.49

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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.