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Finding the Fourth Proportional to 393,812.56, 590,718.84 and 217,441

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Solution

The fourth proportional to 393,812.56, 590,718.84 and 217,441 is: 326,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,812.56 : 590,718.84 = 217,441 : x
  2. Step 2: Convert to fraction form
    393,812.56/590,718.84 = 217,441/x
  3. Step 3: Cross multiply
    393,812.56x = 590,718.84 × 217,441
  4. Step 4: Simplify right side
    393,812.56x = 128,446,495,288.44
  5. Step 5: Solve for x
    x = 128,446,495,288.44/393,812.56
  6. Step 6: Final answer
    x = 326,161.50

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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.