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Finding the Fourth Proportional to 313,544.62, 470,314.33 and 186,342.46

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Solution

The fourth proportional to 313,544.62, 470,314.33 and 186,342.46 is: 279,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,544.62 : 470,314.33 = 186,342.46 : x
  2. Step 2: Convert to fraction form
    313,544.62/470,314.33 = 186,342.46/x
  3. Step 3: Cross multiply
    313,544.62x = 470,314.33 × 186,342.46
  4. Step 4: Simplify right side
    313,544.62x = 87,639,527,583.81
  5. Step 5: Solve for x
    x = 87,639,527,583.81/313,544.62
  6. Step 6: Final answer
    x = 279,512.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.