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Finding the Fourth Proportional to 298,732.70, 412,245.94 and 162,767.77

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Solution

The fourth proportional to 298,732.70, 412,245.94 and 162,767.77 is: 224,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,732.70 : 412,245.94 = 162,767.77 : x
  2. Step 2: Convert to fraction form
    298,732.70/412,245.94 = 162,767.77/x
  3. Step 3: Cross multiply
    298,732.70x = 412,245.94 × 162,767.77
  4. Step 4: Simplify right side
    298,732.70x = 67,100,352,345.35
  5. Step 5: Solve for x
    x = 67,100,352,345.35/298,732.70
  6. Step 6: Final answer
    x = 224,616.70

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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.