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Finding the Fourth Proportional to 300,402.88, 414,556.58 and 164,445.48

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Solution

The fourth proportional to 300,402.88, 414,556.58 and 164,445.48 is: 226,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,402.88 : 414,556.58 = 164,445.48 : x
  2. Step 2: Convert to fraction form
    300,402.88/414,556.58 = 164,445.48/x
  3. Step 3: Cross multiply
    300,402.88x = 414,556.58 × 164,445.48
  4. Step 4: Simplify right side
    300,402.88x = 68,171,956,196.37
  5. Step 5: Solve for x
    x = 68,171,956,196.37/300,402.88
  6. Step 6: Final answer
    x = 226,935.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.