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Finding the Fourth Proportional to 340,958.93, 511,390.60 and 180,964.49

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Solution

The fourth proportional to 340,958.93, 511,390.60 and 180,964.49 is: 271,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,958.93 : 511,390.60 = 180,964.49 : x
  2. Step 2: Convert to fraction form
    340,958.93/511,390.60 = 180,964.49/x
  3. Step 3: Cross multiply
    340,958.93x = 511,390.60 × 180,964.49
  4. Step 4: Simplify right side
    340,958.93x = 92,543,536,110.43
  5. Step 5: Solve for x
    x = 92,543,536,110.43/340,958.93
  6. Step 6: Final answer
    x = 271,421.36

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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.