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Finding the Fourth Proportional to 305,022.18, 420,946.08 and 175,912.62

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Solution

The fourth proportional to 305,022.18, 420,946.08 and 175,912.62 is: 242,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,022.18 : 420,946.08 = 175,912.62 : x
  2. Step 2: Convert to fraction form
    305,022.18/420,946.08 = 175,912.62/x
  3. Step 3: Cross multiply
    305,022.18x = 420,946.08 × 175,912.62
  4. Step 4: Simplify right side
    305,022.18x = 74,049,727,811.53
  5. Step 5: Solve for x
    x = 74,049,727,811.53/305,022.18
  6. Step 6: Final answer
    x = 242,768.34

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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.