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Finding the Fourth Proportional to 298,763.48, 412,288.29 and 162,798.38

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Solution

The fourth proportional to 298,763.48, 412,288.29 and 162,798.38 is: 224,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,763.48 : 412,288.29 = 162,798.38 : x
  2. Step 2: Convert to fraction form
    298,763.48/412,288.29 = 162,798.38/x
  3. Step 3: Cross multiply
    298,763.48x = 412,288.29 × 162,798.38
  4. Step 4: Simplify right side
    298,763.48x = 67,119,865,704.97
  5. Step 5: Solve for x
    x = 67,119,865,704.97/298,763.48
  6. Step 6: Final answer
    x = 224,658.87

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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.