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Finding the Fourth Proportional to 305,138.16, 420,941.07 and 264,795.30

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Solution

The fourth proportional to 305,138.16, 420,941.07 and 264,795.30 is: 365,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,138.16 : 420,941.07 = 264,795.30 : x
  2. Step 2: Convert to fraction form
    305,138.16/420,941.07 = 264,795.30/x
  3. Step 3: Cross multiply
    305,138.16x = 420,941.07 × 264,795.30
  4. Step 4: Simplify right side
    305,138.16x = 111,463,216,912.97
  5. Step 5: Solve for x
    x = 111,463,216,912.97/305,138.16
  6. Step 6: Final answer
    x = 365,287.70

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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.