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Finding the Fourth Proportional to 465,147.29, 696,786.73 and 212,079.67

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Solution

The fourth proportional to 465,147.29, 696,786.73 and 212,079.67 is: 317,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,147.29 : 696,786.73 = 212,079.67 : x
  2. Step 2: Convert to fraction form
    465,147.29/696,786.73 = 212,079.67/x
  3. Step 3: Cross multiply
    465,147.29x = 696,786.73 × 212,079.67
  4. Step 4: Simplify right side
    465,147.29x = 147,774,296,274.85
  5. Step 5: Solve for x
    x = 147,774,296,274.85/465,147.29
  6. Step 6: Final answer
    x = 317,693.56

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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.