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Finding the Fourth Proportional to 512,376.42, 768,573.74 and 157,393.52

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Solution

The fourth proportional to 512,376.42, 768,573.74 and 157,393.52 is: 236,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,376.42 : 768,573.74 = 157,393.52 : x
  2. Step 2: Convert to fraction form
    512,376.42/768,573.74 = 157,393.52/x
  3. Step 3: Cross multiply
    512,376.42x = 768,573.74 × 157,393.52
  4. Step 4: Simplify right side
    512,376.42x = 120,968,521,688.33
  5. Step 5: Solve for x
    x = 120,968,521,688.33/512,376.42
  6. Step 6: Final answer
    x = 236,093.07

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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.