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Finding the Fourth Proportional to 329,470.22, 494,017.97 and 129,682.28

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Solution

The fourth proportional to 329,470.22, 494,017.97 and 129,682.28 is: 194,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,470.22 : 494,017.97 = 129,682.28 : x
  2. Step 2: Convert to fraction form
    329,470.22/494,017.97 = 129,682.28/x
  3. Step 3: Cross multiply
    329,470.22x = 494,017.97 × 129,682.28
  4. Step 4: Simplify right side
    329,470.22x = 64,065,374,564.69
  5. Step 5: Solve for x
    x = 64,065,374,564.69/329,470.22
  6. Step 6: Final answer
    x = 194,449.67

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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.