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Finding the Fourth Proportional to 298,566.20, 412,038.68 and 224,846.68

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Solution

The fourth proportional to 298,566.20, 412,038.68 and 224,846.68 is: 310,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,566.20 : 412,038.68 = 224,846.68 : x
  2. Step 2: Convert to fraction form
    298,566.20/412,038.68 = 224,846.68/x
  3. Step 3: Cross multiply
    298,566.20x = 412,038.68 × 224,846.68
  4. Step 4: Simplify right side
    298,566.20x = 92,645,529,229.58
  5. Step 5: Solve for x
    x = 92,645,529,229.58/298,566.20
  6. Step 6: Final answer
    x = 310,301.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.