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Finding the Fourth Proportional to 298,566.70, 412,039.37 and 224,847.18

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Solution

The fourth proportional to 298,566.70, 412,039.37 and 224,847.18 is: 310,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,566.70 : 412,039.37 = 224,847.18 : x
  2. Step 2: Convert to fraction form
    298,566.70/412,039.37 = 224,847.18/x
  3. Step 3: Cross multiply
    298,566.70x = 412,039.37 × 224,847.18
  4. Step 4: Simplify right side
    298,566.70x = 92,645,890,393.48
  5. Step 5: Solve for x
    x = 92,645,890,393.48/298,566.70
  6. Step 6: Final answer
    x = 310,302.15

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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.