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Finding the Fourth Proportional to 512,074.17, 706,661.82 and 285,719.67

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Solution

The fourth proportional to 512,074.17, 706,661.82 and 285,719.67 is: 394,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,074.17 : 706,661.82 = 285,719.67 : x
  2. Step 2: Convert to fraction form
    512,074.17/706,661.82 = 285,719.67/x
  3. Step 3: Cross multiply
    512,074.17x = 706,661.82 × 285,719.67
  4. Step 4: Simplify right side
    512,074.17x = 201,907,182,012.00
  5. Step 5: Solve for x
    x = 201,907,182,012.00/512,074.17
  6. Step 6: Final answer
    x = 394,292.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.