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Finding the Fourth Proportional to 322,152.56, 444,544.61 and 186,195.32

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Solution

The fourth proportional to 322,152.56, 444,544.61 and 186,195.32 is: 256,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,152.56 : 444,544.61 = 186,195.32 : x
  2. Step 2: Convert to fraction form
    322,152.56/444,544.61 = 186,195.32/x
  3. Step 3: Cross multiply
    322,152.56x = 444,544.61 × 186,195.32
  4. Step 4: Simplify right side
    322,152.56x = 82,772,124,155.99
  5. Step 5: Solve for x
    x = 82,772,124,155.99/322,152.56
  6. Step 6: Final answer
    x = 256,934.55

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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.