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Finding the Fourth Proportional to 311,141.72, 466,865 and 111,477.53

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Solution

The fourth proportional to 311,141.72, 466,865 and 111,477.53 is: 167,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,141.72 : 466,865 = 111,477.53 : x
  2. Step 2: Convert to fraction form
    311,141.72/466,865 = 111,477.53/x
  3. Step 3: Cross multiply
    311,141.72x = 466,865 × 111,477.53
  4. Step 4: Simplify right side
    311,141.72x = 52,044,957,043.45
  5. Step 5: Solve for x
    x = 52,044,957,043.45/311,141.72
  6. Step 6: Final answer
    x = 167,270.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.