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Finding the Fourth Proportional to 301,996.40, 416,744.40 and 166,029.35

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Solution

The fourth proportional to 301,996.40, 416,744.40 and 166,029.35 is: 229,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,996.40 : 416,744.40 = 166,029.35 : x
  2. Step 2: Convert to fraction form
    301,996.40/416,744.40 = 166,029.35/x
  3. Step 3: Cross multiply
    301,996.40x = 416,744.40 × 166,029.35
  4. Step 4: Simplify right side
    301,996.40x = 69,191,801,848.14
  5. Step 5: Solve for x
    x = 69,191,801,848.14/301,996.40
  6. Step 6: Final answer
    x = 229,114.66

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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.