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Finding the Fourth Proportional to 512,289.76, 768,548.92 and 157,339.60

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Solution

The fourth proportional to 512,289.76, 768,548.92 and 157,339.60 is: 236,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,289.76 : 768,548.92 = 157,339.60 : x
  2. Step 2: Convert to fraction form
    512,289.76/768,548.92 = 157,339.60/x
  3. Step 3: Cross multiply
    512,289.76x = 768,548.92 × 157,339.60
  4. Step 4: Simplify right side
    512,289.76x = 120,923,179,653.23
  5. Step 5: Solve for x
    x = 120,923,179,653.23/512,289.76
  6. Step 6: Final answer
    x = 236,044.50

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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.