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Finding the Fourth Proportional to 305,002.68, 420,896.52 and 177,670.05

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Solution

The fourth proportional to 305,002.68, 420,896.52 and 177,670.05 is: 245,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,002.68 : 420,896.52 = 177,670.05 : x
  2. Step 2: Convert to fraction form
    305,002.68/420,896.52 = 177,670.05/x
  3. Step 3: Cross multiply
    305,002.68x = 420,896.52 × 177,670.05
  4. Step 4: Simplify right side
    305,002.68x = 74,780,705,753.23
  5. Step 5: Solve for x
    x = 74,780,705,753.23/305,002.68
  6. Step 6: Final answer
    x = 245,180.49

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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.