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Finding the Fourth Proportional to 649,270.80, 973,906.20 and 294,976.80

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Solution

The fourth proportional to 649,270.80, 973,906.20 and 294,976.80 is: 442,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,270.80 : 973,906.20 = 294,976.80 : x
  2. Step 2: Convert to fraction form
    649,270.80/973,906.20 = 294,976.80/x
  3. Step 3: Cross multiply
    649,270.80x = 973,906.20 × 294,976.80
  4. Step 4: Simplify right side
    649,270.80x = 287,279,734,376.16
  5. Step 5: Solve for x
    x = 287,279,734,376.16/649,270.80
  6. Step 6: Final answer
    x = 442,465.20

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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.