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Finding the Fourth Proportional to 512,238.14, 768,447.39 and 175,199.66

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Solution

The fourth proportional to 512,238.14, 768,447.39 and 175,199.66 is: 262,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,238.14 : 768,447.39 = 175,199.66 : x
  2. Step 2: Convert to fraction form
    512,238.14/768,447.39 = 175,199.66/x
  3. Step 3: Cross multiply
    512,238.14x = 768,447.39 × 175,199.66
  4. Step 4: Simplify right side
    512,238.14x = 134,631,721,455.89
  5. Step 5: Solve for x
    x = 134,631,721,455.89/512,238.14
  6. Step 6: Final answer
    x = 262,830.33

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1.5x scale

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.