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Finding the Fourth Proportional to 298,738.60, 412,254.06 and 162,773.67

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Solution

The fourth proportional to 298,738.60, 412,254.06 and 162,773.67 is: 224,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,738.60 : 412,254.06 = 162,773.67 : x
  2. Step 2: Convert to fraction form
    298,738.60/412,254.06 = 162,773.67/x
  3. Step 3: Cross multiply
    298,738.60x = 412,254.06 × 162,773.67
  4. Step 4: Simplify right side
    298,738.60x = 67,104,106,318.60
  5. Step 5: Solve for x
    x = 67,104,106,318.60/298,738.60
  6. Step 6: Final answer
    x = 224,624.83

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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.