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Finding the Fourth Proportional to 415,135.12, 622,790.16 and 134,630.50

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Solution

The fourth proportional to 415,135.12, 622,790.16 and 134,630.50 is: 201,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,135.12 : 622,790.16 = 134,630.50 : x
  2. Step 2: Convert to fraction form
    415,135.12/622,790.16 = 134,630.50/x
  3. Step 3: Cross multiply
    415,135.12x = 622,790.16 × 134,630.50
  4. Step 4: Simplify right side
    415,135.12x = 83,846,550,635.88
  5. Step 5: Solve for x
    x = 83,846,550,635.88/415,135.12
  6. Step 6: Final answer
    x = 201,974.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.