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Finding the Fourth Proportional to 512,021.70, 768,032.55 and 512,021.70

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Solution

The fourth proportional to 512,021.70, 768,032.55 and 512,021.70 is: 768,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,021.70 : 768,032.55 = 512,021.70 : x
  2. Step 2: Convert to fraction form
    512,021.70/768,032.55 = 512,021.70/x
  3. Step 3: Cross multiply
    512,021.70x = 768,032.55 × 512,021.70
  4. Step 4: Simplify right side
    512,021.70x = 393,249,331,906.34
  5. Step 5: Solve for x
    x = 393,249,331,906.34/512,021.70
  6. Step 6: Final answer
    x = 768,032.55

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