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Finding the Fourth Proportional to 298,797.24, 412,336.44 and 162,837.12

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Solution

The fourth proportional to 298,797.24, 412,336.44 and 162,837.12 is: 224,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,797.24 : 412,336.44 = 162,837.12 : x
  2. Step 2: Convert to fraction form
    298,797.24/412,336.44 = 162,837.12/x
  3. Step 3: Cross multiply
    298,797.24x = 412,336.44 × 162,837.12
  4. Step 4: Simplify right side
    298,797.24x = 67,143,678,360.65
  5. Step 5: Solve for x
    x = 67,143,678,360.65/298,797.24
  6. Step 6: Final answer
    x = 224,713.18

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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.