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Finding the Fourth Proportional to 308,982.94, 463,539.48 and 106,597.42

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Solution

The fourth proportional to 308,982.94, 463,539.48 and 106,597.42 is: 159,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,982.94 : 463,539.48 = 106,597.42 : x
  2. Step 2: Convert to fraction form
    308,982.94/463,539.48 = 106,597.42/x
  3. Step 3: Cross multiply
    308,982.94x = 463,539.48 × 106,597.42
  4. Step 4: Simplify right side
    308,982.94x = 49,412,112,636.14
  5. Step 5: Solve for x
    x = 49,412,112,636.14/308,982.94
  6. Step 6: Final answer
    x = 159,918.58

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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.