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Finding the Fourth Proportional to 512,289.50, 706,966.80 and 285,935

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Solution

The fourth proportional to 512,289.50, 706,966.80 and 285,935 is: 394,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,289.50 : 706,966.80 = 285,935 : x
  2. Step 2: Convert to fraction form
    512,289.50/706,966.80 = 285,935/x
  3. Step 3: Cross multiply
    512,289.50x = 706,966.80 × 285,935
  4. Step 4: Simplify right side
    512,289.50x = 202,146,551,958
  5. Step 5: Solve for x
    x = 202,146,551,958/512,289.50
  6. Step 6: Final answer
    x = 394,594.37

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