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Finding the Fourth Proportional to 305,125.68, 420,923.80 and 264,782.80

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Solution

The fourth proportional to 305,125.68, 420,923.80 and 264,782.80 is: 365,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,125.68 : 420,923.80 = 264,782.80 : x
  2. Step 2: Convert to fraction form
    305,125.68/420,923.80 = 264,782.80/x
  3. Step 3: Cross multiply
    305,125.68x = 420,923.80 × 264,782.80
  4. Step 4: Simplify right side
    305,125.68x = 111,453,382,350.64
  5. Step 5: Solve for x
    x = 111,453,382,350.64/305,125.68
  6. Step 6: Final answer
    x = 365,270.41

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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.