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Finding the Fourth Proportional to 313,982.70, 433,143.78 and 186,568.08

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Solution

The fourth proportional to 313,982.70, 433,143.78 and 186,568.08 is: 257,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,982.70 : 433,143.78 = 186,568.08 : x
  2. Step 2: Convert to fraction form
    313,982.70/433,143.78 = 186,568.08/x
  3. Step 3: Cross multiply
    313,982.70x = 433,143.78 × 186,568.08
  4. Step 4: Simplify right side
    313,982.70x = 80,810,803,398.54
  5. Step 5: Solve for x
    x = 80,810,803,398.54/313,982.70
  6. Step 6: Final answer
    x = 257,373.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.