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Finding the Fourth Proportional to 298,739.70, 412,255.58 and 162,774.79

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Solution

The fourth proportional to 298,739.70, 412,255.58 and 162,774.79 is: 224,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.70 : 412,255.58 = 162,774.79 : x
  2. Step 2: Convert to fraction form
    298,739.70/412,255.58 = 162,774.79/x
  3. Step 3: Cross multiply
    298,739.70x = 412,255.58 × 162,774.79
  4. Step 4: Simplify right side
    298,739.70x = 67,104,813,616.32
  5. Step 5: Solve for x
    x = 67,104,813,616.32/298,739.70
  6. Step 6: Final answer
    x = 224,626.37

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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.