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Finding the Fourth Proportional to 322,167.75, 444,565.47 and 186,210.50

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Solution

The fourth proportional to 322,167.75, 444,565.47 and 186,210.50 is: 256,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,167.75 : 444,565.47 = 186,210.50 : x
  2. Step 2: Convert to fraction form
    322,167.75/444,565.47 = 186,210.50/x
  3. Step 3: Cross multiply
    322,167.75x = 444,565.47 × 186,210.50
  4. Step 4: Simplify right side
    322,167.75x = 82,782,758,451.44
  5. Step 5: Solve for x
    x = 82,782,758,451.44/322,167.75
  6. Step 6: Final answer
    x = 256,955.45

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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.