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Finding the Fourth Proportional to 298,732.36, 412,245.84 and 162,768.10

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Solution

The fourth proportional to 298,732.36, 412,245.84 and 162,768.10 is: 224,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,732.36 : 412,245.84 = 162,768.10 : x
  2. Step 2: Convert to fraction form
    298,732.36/412,245.84 = 162,768.10/x
  3. Step 3: Cross multiply
    298,732.36x = 412,245.84 × 162,768.10
  4. Step 4: Simplify right side
    298,732.36x = 67,100,472,109.70
  5. Step 5: Solve for x
    x = 67,100,472,109.70/298,732.36
  6. Step 6: Final answer
    x = 224,617.35

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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.