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Finding the Fourth Proportional to 298,814.44, 412,363.92 and 164,678.44

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Solution

The fourth proportional to 298,814.44, 412,363.92 and 164,678.44 is: 227,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.44 : 412,363.92 = 164,678.44 : x
  2. Step 2: Convert to fraction form
    298,814.44/412,363.92 = 164,678.44/x
  3. Step 3: Cross multiply
    298,814.44x = 412,363.92 × 164,678.44
  4. Step 4: Simplify right side
    298,814.44x = 67,907,447,057.88
  5. Step 5: Solve for x
    x = 67,907,447,057.88/298,814.44
  6. Step 6: Final answer
    x = 227,256.24

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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.