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Finding the Fourth Proportional to 313,812.70, 470,719.06 and 193,965.10

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Solution

The fourth proportional to 313,812.70, 470,719.06 and 193,965.10 is: 290,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812.70 : 470,719.06 = 193,965.10 : x
  2. Step 2: Convert to fraction form
    313,812.70/470,719.06 = 193,965.10/x
  3. Step 3: Cross multiply
    313,812.70x = 470,719.06 × 193,965.10
  4. Step 4: Simplify right side
    313,812.70x = 91,303,069,544.81
  5. Step 5: Solve for x
    x = 91,303,069,544.81/313,812.70
  6. Step 6: Final answer
    x = 290,947.66

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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.