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Finding the Fourth Proportional to 322,263.48, 444,707.64 and 186,284.49

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Solution

The fourth proportional to 322,263.48, 444,707.64 and 186,284.49 is: 257,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,263.48 : 444,707.64 = 186,284.49 : x
  2. Step 2: Convert to fraction form
    322,263.48/444,707.64 = 186,284.49/x
  3. Step 3: Cross multiply
    322,263.48x = 444,707.64 × 186,284.49
  4. Step 4: Simplify right side
    322,263.48x = 82,842,135,916.50
  5. Step 5: Solve for x
    x = 82,842,135,916.50/322,263.48
  6. Step 6: Final answer
    x = 257,063.37

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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.