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Finding the Fourth Proportional to 314,825.18, 434,474.17 and 177,047.46

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Solution

The fourth proportional to 314,825.18, 434,474.17 and 177,047.46 is: 244,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,825.18 : 434,474.17 = 177,047.46 : x
  2. Step 2: Convert to fraction form
    314,825.18/434,474.17 = 177,047.46/x
  3. Step 3: Cross multiply
    314,825.18x = 434,474.17 × 177,047.46
  4. Step 4: Simplify right side
    314,825.18x = 76,922,548,234.11
  5. Step 5: Solve for x
    x = 76,922,548,234.11/314,825.18
  6. Step 6: Final answer
    x = 244,334.17

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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.