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Finding the Fourth Proportional to 649,196.70, 973,795.05 and 205,964.70

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Solution

The fourth proportional to 649,196.70, 973,795.05 and 205,964.70 is: 308,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,196.70 : 973,795.05 = 205,964.70 : x
  2. Step 2: Convert to fraction form
    649,196.70/973,795.05 = 205,964.70/x
  3. Step 3: Cross multiply
    649,196.70x = 973,795.05 × 205,964.70
  4. Step 4: Simplify right side
    649,196.70x = 200,567,405,334.74
  5. Step 5: Solve for x
    x = 200,567,405,334.74/649,196.70
  6. Step 6: Final answer
    x = 308,947.05

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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.