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Finding the Fourth Proportional to 345,817.94, 477,232.40 and 194,914.94

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Solution

The fourth proportional to 345,817.94, 477,232.40 and 194,914.94 is: 268,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,817.94 : 477,232.40 = 194,914.94 : x
  2. Step 2: Convert to fraction form
    345,817.94/477,232.40 = 194,914.94/x
  3. Step 3: Cross multiply
    345,817.94x = 477,232.40 × 194,914.94
  4. Step 4: Simplify right side
    345,817.94x = 93,019,723,418.98
  5. Step 5: Solve for x
    x = 93,019,723,418.98/345,817.94
  6. Step 6: Final answer
    x = 268,984.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.