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Finding the Fourth Proportional to 469,072, 703,608 and 206,416

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Solution

The fourth proportional to 469,072, 703,608 and 206,416 is: 309,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,072 : 703,608 = 206,416 : x
  2. Step 2: Convert to fraction form
    469,072/703,608 = 206,416/x
  3. Step 3: Cross multiply
    469,072x = 703,608 × 206,416
  4. Step 4: Simplify right side
    469,072x = 145,235,948,928
  5. Step 5: Solve for x
    x = 145,235,948,928/469,072
  6. Step 6: Final answer
    x = 309,624

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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.