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Finding the Fourth Proportional to 415,152.80, 622,729.76 and 115,634.24

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Solution

The fourth proportional to 415,152.80, 622,729.76 and 115,634.24 is: 173,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,152.80 : 622,729.76 = 115,634.24 : x
  2. Step 2: Convert to fraction form
    415,152.80/622,729.76 = 115,634.24/x
  3. Step 3: Cross multiply
    415,152.80x = 622,729.76 × 115,634.24
  4. Step 4: Simplify right side
    415,152.80x = 72,008,882,522.98
  5. Step 5: Solve for x
    x = 72,008,882,522.98/415,152.80
  6. Step 6: Final answer
    x = 173,451.52

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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.