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Finding the Fourth Proportional to 298,570.92, 412,019.46 and 162,601.80

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Solution

The fourth proportional to 298,570.92, 412,019.46 and 162,601.80 is: 224,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,570.92 : 412,019.46 = 162,601.80 : x
  2. Step 2: Convert to fraction form
    298,570.92/412,019.46 = 162,601.80/x
  3. Step 3: Cross multiply
    298,570.92x = 412,019.46 × 162,601.80
  4. Step 4: Simplify right side
    298,570.92x = 66,995,105,831.03
  5. Step 5: Solve for x
    x = 66,995,105,831.03/298,570.92
  6. Step 6: Final answer
    x = 224,385.90

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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.