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Finding the Fourth Proportional to 311,171.22, 466,518.47 and 97,815.70

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Solution

The fourth proportional to 311,171.22, 466,518.47 and 97,815.70 is: 146,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,171.22 : 466,518.47 = 97,815.70 : x
  2. Step 2: Convert to fraction form
    311,171.22/466,518.47 = 97,815.70/x
  3. Step 3: Cross multiply
    311,171.22x = 466,518.47 × 97,815.70
  4. Step 4: Simplify right side
    311,171.22x = 45,632,830,705.98
  5. Step 5: Solve for x
    x = 45,632,830,705.98/311,171.22
  6. Step 6: Final answer
    x = 146,648.62

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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.