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Finding the Fourth Proportional to 300,765.94, 415,056.76 and 164,808.34

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Solution

The fourth proportional to 300,765.94, 415,056.76 and 164,808.34 is: 227,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,765.94 : 415,056.76 = 164,808.34 : x
  2. Step 2: Convert to fraction form
    300,765.94/415,056.76 = 164,808.34/x
  3. Step 3: Cross multiply
    300,765.94x = 415,056.76 × 164,808.34
  4. Step 4: Simplify right side
    300,765.94x = 68,404,814,171.72
  5. Step 5: Solve for x
    x = 68,404,814,171.72/300,765.94
  6. Step 6: Final answer
    x = 227,435.38

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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.