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Finding the Fourth Proportional to 322,328.22, 482,827.89 and 188,803.68

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Solution

The fourth proportional to 322,328.22, 482,827.89 and 188,803.68 is: 282,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,328.22 : 482,827.89 = 188,803.68 : x
  2. Step 2: Convert to fraction form
    322,328.22/482,827.89 = 188,803.68/x
  3. Step 3: Cross multiply
    322,328.22x = 482,827.89 × 188,803.68
  4. Step 4: Simplify right side
    322,328.22x = 91,159,682,438.64
  5. Step 5: Solve for x
    x = 91,159,682,438.64/322,328.22
  6. Step 6: Final answer
    x = 282,816.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.