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Finding the Fourth Proportional to 329,047.20, 493,622.64 and 118,736.64

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Solution

The fourth proportional to 329,047.20, 493,622.64 and 118,736.64 is: 178,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,047.20 : 493,622.64 = 118,736.64 : x
  2. Step 2: Convert to fraction form
    329,047.20/493,622.64 = 118,736.64/x
  3. Step 3: Cross multiply
    329,047.20x = 493,622.64 × 118,736.64
  4. Step 4: Simplify right side
    329,047.20x = 58,611,093,701.53
  5. Step 5: Solve for x
    x = 58,611,093,701.53/329,047.20
  6. Step 6: Final answer
    x = 178,123.67

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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.