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Finding the Fourth Proportional to 322,722.49, 445,371.51 and 186,762.82

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Solution

The fourth proportional to 322,722.49, 445,371.51 and 186,762.82 is: 257,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,722.49 : 445,371.51 = 186,762.82 : x
  2. Step 2: Convert to fraction form
    322,722.49/445,371.51 = 186,762.82/x
  3. Step 3: Cross multiply
    322,722.49x = 445,371.51 × 186,762.82
  4. Step 4: Simplify right side
    322,722.49x = 83,178,839,155.26
  5. Step 5: Solve for x
    x = 83,178,839,155.26/322,722.49
  6. Step 6: Final answer
    x = 257,741.07

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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.