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Finding the Fourth Proportional to 298,812.62, 412,349.37 and 162,843.64

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Solution

The fourth proportional to 298,812.62, 412,349.37 and 162,843.64 is: 224,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812.62 : 412,349.37 = 162,843.64 : x
  2. Step 2: Convert to fraction form
    298,812.62/412,349.37 = 162,843.64/x
  3. Step 3: Cross multiply
    298,812.62x = 412,349.37 × 162,843.64
  4. Step 4: Simplify right side
    298,812.62x = 67,148,471,331.63
  5. Step 5: Solve for x
    x = 67,148,471,331.63/298,812.62
  6. Step 6: Final answer
    x = 224,717.65

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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.