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Finding the Fourth Proportional to 769,842.92, 1,062,361.04 and 425,672.84

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Solution

The fourth proportional to 769,842.92, 1,062,361.04 and 425,672.84 is: 587,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,842.92 : 1,062,361.04 = 425,672.84 : x
  2. Step 2: Convert to fraction form
    769,842.92/1,062,361.04 = 425,672.84/x
  3. Step 3: Cross multiply
    769,842.92x = 1,062,361.04 × 425,672.84
  4. Step 4: Simplify right side
    769,842.92x = 452,218,241,002.15
  5. Step 5: Solve for x
    x = 452,218,241,002.15/769,842.92
  6. Step 6: Final answer
    x = 587,416.25

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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.