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Finding the Fourth Proportional to 298,688.70, 412,190.40 and 164,552.70

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Solution

The fourth proportional to 298,688.70, 412,190.40 and 164,552.70 is: 227,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,688.70 : 412,190.40 = 164,552.70 : x
  2. Step 2: Convert to fraction form
    298,688.70/412,190.40 = 164,552.70/x
  3. Step 3: Cross multiply
    298,688.70x = 412,190.40 × 164,552.70
  4. Step 4: Simplify right side
    298,688.70x = 67,827,043,234.08
  5. Step 5: Solve for x
    x = 67,827,043,234.08/298,688.70
  6. Step 6: Final answer
    x = 227,082.72

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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.