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Finding the Fourth Proportional to 298,882.06, 412,451.08 and 162,914.83

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Solution

The fourth proportional to 298,882.06, 412,451.08 and 162,914.83 is: 224,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,882.06 : 412,451.08 = 162,914.83 : x
  2. Step 2: Convert to fraction form
    298,882.06/412,451.08 = 162,914.83/x
  3. Step 3: Cross multiply
    298,882.06x = 412,451.08 × 162,914.83
  4. Step 4: Simplify right side
    298,882.06x = 67,194,395,519.26
  5. Step 5: Solve for x
    x = 67,194,395,519.26/298,882.06
  6. Step 6: Final answer
    x = 224,819.10

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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.