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Finding the Fourth Proportional to 298,661.70, 412,153.14 and 164,525.70

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Solution

The fourth proportional to 298,661.70, 412,153.14 and 164,525.70 is: 227,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,661.70 : 412,153.14 = 164,525.70 : x
  2. Step 2: Convert to fraction form
    298,661.70/412,153.14 = 164,525.70/x
  3. Step 3: Cross multiply
    298,661.70x = 412,153.14 × 164,525.70
  4. Step 4: Simplify right side
    298,661.70x = 67,809,783,865.70
  5. Step 5: Solve for x
    x = 67,809,783,865.70/298,661.70
  6. Step 6: Final answer
    x = 227,045.46

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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.