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Finding the Fourth Proportional to 511,953.76, 706,515.60 and 285,643.36

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Solution

The fourth proportional to 511,953.76, 706,515.60 and 285,643.36 is: 394,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,953.76 : 706,515.60 = 285,643.36 : x
  2. Step 2: Convert to fraction form
    511,953.76/706,515.60 = 285,643.36/x
  3. Step 3: Cross multiply
    511,953.76x = 706,515.60 × 285,643.36
  4. Step 4: Simplify right side
    511,953.76x = 201,811,489,876.42
  5. Step 5: Solve for x
    x = 201,811,489,876.42/511,953.76
  6. Step 6: Final answer
    x = 394,198.67

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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.