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Finding the Fourth Proportional to 298,769.24, 412,297.80 and 162,809.12

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Solution

The fourth proportional to 298,769.24, 412,297.80 and 162,809.12 is: 224,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,769.24 : 412,297.80 = 162,809.12 : x
  2. Step 2: Convert to fraction form
    298,769.24/412,297.80 = 162,809.12/x
  3. Step 3: Cross multiply
    298,769.24x = 412,297.80 × 162,809.12
  4. Step 4: Simplify right side
    298,769.24x = 67,125,841,995.94
  5. Step 5: Solve for x
    x = 67,125,841,995.94/298,769.24
  6. Step 6: Final answer
    x = 224,674.54

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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.