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Finding the Fourth Proportional to 313,011.44, 431,812.32 and 185,640.56

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Solution

The fourth proportional to 313,011.44, 431,812.32 and 185,640.56 is: 256,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,011.44 : 431,812.32 = 185,640.56 : x
  2. Step 2: Convert to fraction form
    313,011.44/431,812.32 = 185,640.56/x
  3. Step 3: Cross multiply
    313,011.44x = 431,812.32 × 185,640.56
  4. Step 4: Simplify right side
    313,011.44x = 80,161,880,899.70
  5. Step 5: Solve for x
    x = 80,161,880,899.70/313,011.44
  6. Step 6: Final answer
    x = 256,098.89

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1.5x scale

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.