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Finding the Fourth Proportional to 313,951.48, 470,295.96 and 145,234.96

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Solution

The fourth proportional to 313,951.48, 470,295.96 and 145,234.96 is: 217,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,951.48 : 470,295.96 = 145,234.96 : x
  2. Step 2: Convert to fraction form
    313,951.48/470,295.96 = 145,234.96/x
  3. Step 3: Cross multiply
    313,951.48x = 470,295.96 × 145,234.96
  4. Step 4: Simplify right side
    313,951.48x = 68,303,414,938.76
  5. Step 5: Solve for x
    x = 68,303,414,938.76/313,951.48
  6. Step 6: Final answer
    x = 217,560.42

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1.5x scale

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.