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Finding the Fourth Proportional to 613,676, 846,436.56 and 409,624

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Solution

The fourth proportional to 613,676, 846,436.56 and 409,624 is: 564,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,676 : 846,436.56 = 409,624 : x
  2. Step 2: Convert to fraction form
    613,676/846,436.56 = 409,624/x
  3. Step 3: Cross multiply
    613,676x = 846,436.56 × 409,624
  4. Step 4: Simplify right side
    613,676x = 346,720,729,453.44
  5. Step 5: Solve for x
    x = 346,720,729,453.44/613,676
  6. Step 6: Final answer
    x = 564,989.88

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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.