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Finding the Fourth Proportional to 300,729.42, 415,006.58 and 164,768.51

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Solution

The fourth proportional to 300,729.42, 415,006.58 and 164,768.51 is: 227,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,729.42 : 415,006.58 = 164,768.51 : x
  2. Step 2: Convert to fraction form
    300,729.42/415,006.58 = 164,768.51/x
  3. Step 3: Cross multiply
    300,729.42x = 415,006.58 × 164,768.51
  4. Step 4: Simplify right side
    300,729.42x = 68,380,018,054.37
  5. Step 5: Solve for x
    x = 68,380,018,054.37/300,729.42
  6. Step 6: Final answer
    x = 227,380.54

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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.