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Finding the Fourth Proportional to 322,277.32, 482,942.80 and 162,133.14

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Solution

The fourth proportional to 322,277.32, 482,942.80 and 162,133.14 is: 242,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,277.32 : 482,942.80 = 162,133.14 : x
  2. Step 2: Convert to fraction form
    322,277.32/482,942.80 = 162,133.14/x
  3. Step 3: Cross multiply
    322,277.32x = 482,942.80 × 162,133.14
  4. Step 4: Simplify right side
    322,277.32x = 78,301,032,604.39
  5. Step 5: Solve for x
    x = 78,301,032,604.39/322,277.32
  6. Step 6: Final answer
    x = 242,961.66

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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.