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Finding the Fourth Proportional to 298,809.54, 412,351.83 and 162,842.67

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Solution

The fourth proportional to 298,809.54, 412,351.83 and 162,842.67 is: 224,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,809.54 : 412,351.83 = 162,842.67 : x
  2. Step 2: Convert to fraction form
    298,809.54/412,351.83 = 162,842.67/x
  3. Step 3: Cross multiply
    298,809.54x = 412,351.83 × 162,842.67
  4. Step 4: Simplify right side
    298,809.54x = 67,148,472,976.59
  5. Step 5: Solve for x
    x = 67,148,472,976.59/298,809.54
  6. Step 6: Final answer
    x = 224,719.98

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1.5x scale

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.