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Finding the Fourth Proportional to 304,742.79, 457,230.87 and 146,958.03

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Solution

The fourth proportional to 304,742.79, 457,230.87 and 146,958.03 is: 220,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,742.79 : 457,230.87 = 146,958.03 : x
  2. Step 2: Convert to fraction form
    304,742.79/457,230.87 = 146,958.03/x
  3. Step 3: Cross multiply
    304,742.79x = 457,230.87 × 146,958.03
  4. Step 4: Simplify right side
    304,742.79x = 67,193,747,910.39
  5. Step 5: Solve for x
    x = 67,193,747,910.39/304,742.79
  6. Step 6: Final answer
    x = 220,493.31

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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.