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Finding the Fourth Proportional to 329,144.94, 493,421.76 and 118,733.67

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Solution

The fourth proportional to 329,144.94, 493,421.76 and 118,733.67 is: 177,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,144.94 : 493,421.76 = 118,733.67 : x
  2. Step 2: Convert to fraction form
    329,144.94/493,421.76 = 118,733.67/x
  3. Step 3: Cross multiply
    329,144.94x = 493,421.76 × 118,733.67
  4. Step 4: Simplify right side
    329,144.94x = 58,585,776,422.66
  5. Step 5: Solve for x
    x = 58,585,776,422.66/329,144.94
  6. Step 6: Final answer
    x = 177,993.85

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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.