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Finding the Fourth Proportional to 667,029.36, 920,318.04 and 428,703.60

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Solution

The fourth proportional to 667,029.36, 920,318.04 and 428,703.60 is: 591,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,029.36 : 920,318.04 = 428,703.60 : x
  2. Step 2: Convert to fraction form
    667,029.36/920,318.04 = 428,703.60/x
  3. Step 3: Cross multiply
    667,029.36x = 920,318.04 × 428,703.60
  4. Step 4: Simplify right side
    667,029.36x = 394,543,656,892.94
  5. Step 5: Solve for x
    x = 394,543,656,892.94/667,029.36
  6. Step 6: Final answer
    x = 591,493.69

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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.