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Finding the Fourth Proportional to 613,205.84, 846,224.06 and 341,337.96

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Solution

The fourth proportional to 613,205.84, 846,224.06 and 341,337.96 is: 471,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,205.84 : 846,224.06 = 341,337.96 : x
  2. Step 2: Convert to fraction form
    613,205.84/846,224.06 = 341,337.96/x
  3. Step 3: Cross multiply
    613,205.84x = 846,224.06 × 341,337.96
  4. Step 4: Simplify right side
    613,205.84x = 288,848,395,836.67
  5. Step 5: Solve for x
    x = 288,848,395,836.67/613,205.84
  6. Step 6: Final answer
    x = 471,046.39

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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.