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Finding the Fourth Proportional to 512,597.44, 768,917.10 and 175,869.64

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Solution

The fourth proportional to 512,597.44, 768,917.10 and 175,869.64 is: 263,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,597.44 : 768,917.10 = 175,869.64 : x
  2. Step 2: Convert to fraction form
    512,597.44/768,917.10 = 175,869.64/x
  3. Step 3: Cross multiply
    512,597.44x = 768,917.10 × 175,869.64
  4. Step 4: Simplify right side
    512,597.44x = 135,229,173,566.84
  5. Step 5: Solve for x
    x = 135,229,173,566.84/512,597.44
  6. Step 6: Final answer
    x = 263,811.64

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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.