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Finding the Fourth Proportional to 298,565.70, 412,037.99 and 224,846.18

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Solution

The fourth proportional to 298,565.70, 412,037.99 and 224,846.18 is: 310,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,565.70 : 412,037.99 = 224,846.18 : x
  2. Step 2: Convert to fraction form
    298,565.70/412,037.99 = 224,846.18/x
  3. Step 3: Cross multiply
    298,565.70x = 412,037.99 × 224,846.18
  4. Step 4: Simplify right side
    298,565.70x = 92,645,167,270.27
  5. Step 5: Solve for x
    x = 92,645,167,270.27/298,565.70
  6. Step 6: Final answer
    x = 310,300.78

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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.