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Finding the Fourth Proportional to 613,671.97, 846,431.08 and 409,620.01

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Solution

The fourth proportional to 613,671.97, 846,431.08 and 409,620.01 is: 564,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,671.97 : 846,431.08 = 409,620.01 : x
  2. Step 2: Convert to fraction form
    613,671.97/846,431.08 = 409,620.01/x
  3. Step 3: Cross multiply
    613,671.97x = 846,431.08 × 409,620.01
  4. Step 4: Simplify right side
    613,671.97x = 346,715,107,453.91
  5. Step 5: Solve for x
    x = 346,715,107,453.91/613,671.97
  6. Step 6: Final answer
    x = 564,984.43

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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.