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Finding the Fourth Proportional to 321,299.82, 481,051.14 and 242,166.06

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Solution

The fourth proportional to 321,299.82, 481,051.14 and 242,166.06 is: 362,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,299.82 : 481,051.14 = 242,166.06 : x
  2. Step 2: Convert to fraction form
    321,299.82/481,051.14 = 242,166.06/x
  3. Step 3: Cross multiply
    321,299.82x = 481,051.14 × 242,166.06
  4. Step 4: Simplify right side
    321,299.82x = 116,494,259,232.31
  5. Step 5: Solve for x
    x = 116,494,259,232.31/321,299.82
  6. Step 6: Final answer
    x = 362,571.82

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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.