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Finding the Fourth Proportional to 315,186.50, 470,321.43 and 281,219.04

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Solution

The fourth proportional to 315,186.50, 470,321.43 and 281,219.04 is: 419,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186.50 : 470,321.43 = 281,219.04 : x
  2. Step 2: Convert to fraction form
    315,186.50/470,321.43 = 281,219.04/x
  3. Step 3: Cross multiply
    315,186.50x = 470,321.43 × 281,219.04
  4. Step 4: Simplify right side
    315,186.50x = 132,263,341,036.03
  5. Step 5: Solve for x
    x = 132,263,341,036.03/315,186.50
  6. Step 6: Final answer
    x = 419,635.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.