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Finding the Fourth Proportional to 266,436.54, 397,711.14 and 232,806

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Solution

The fourth proportional to 266,436.54, 397,711.14 and 232,806 is: 347,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,436.54 : 397,711.14 = 232,806 : x
  2. Step 2: Convert to fraction form
    266,436.54/397,711.14 = 232,806/x
  3. Step 3: Cross multiply
    266,436.54x = 397,711.14 × 232,806
  4. Step 4: Simplify right side
    266,436.54x = 92,589,539,658.84
  5. Step 5: Solve for x
    x = 92,589,539,658.84/266,436.54
  6. Step 6: Final answer
    x = 347,510.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.