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Finding the Fourth Proportional to 298,740, 412,262.48 and 164,601.12

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Solution

The fourth proportional to 298,740, 412,262.48 and 164,601.12 is: 227,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,740 : 412,262.48 = 164,601.12 : x
  2. Step 2: Convert to fraction form
    298,740/412,262.48 = 164,601.12/x
  3. Step 3: Cross multiply
    298,740x = 412,262.48 × 164,601.12
  4. Step 4: Simplify right side
    298,740x = 67,858,865,941.98
  5. Step 5: Solve for x
    x = 67,858,865,941.98/298,740
  6. Step 6: Final answer
    x = 227,150.25

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1.5x scale

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.