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Finding the Fourth Proportional to 315,172.50, 434,974.47 and 175,485.15

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Solution

The fourth proportional to 315,172.50, 434,974.47 and 175,485.15 is: 242,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,172.50 : 434,974.47 = 175,485.15 : x
  2. Step 2: Convert to fraction form
    315,172.50/434,974.47 = 175,485.15/x
  3. Step 3: Cross multiply
    315,172.50x = 434,974.47 × 175,485.15
  4. Step 4: Simplify right side
    315,172.50x = 76,331,560,114.12
  5. Step 5: Solve for x
    x = 76,331,560,114.12/315,172.50
  6. Step 6: Final answer
    x = 242,189.79

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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.