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Finding the Fourth Proportional to 301,908.48, 416,194.61 and 210,982.14

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Solution

The fourth proportional to 301,908.48, 416,194.61 and 210,982.14 is: 290,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,908.48 : 416,194.61 = 210,982.14 : x
  2. Step 2: Convert to fraction form
    301,908.48/416,194.61 = 210,982.14/x
  3. Step 3: Cross multiply
    301,908.48x = 416,194.61 × 210,982.14
  4. Step 4: Simplify right side
    301,908.48x = 87,809,628,419.35
  5. Step 5: Solve for x
    x = 87,809,628,419.35/301,908.48
  6. Step 6: Final answer
    x = 290,848.50

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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.