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Finding the Fourth Proportional to 770,617.10, 1,063,408.82 and 431,019.74

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Solution

The fourth proportional to 770,617.10, 1,063,408.82 and 431,019.74 is: 594,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,617.10 : 1,063,408.82 = 431,019.74 : x
  2. Step 2: Convert to fraction form
    770,617.10/1,063,408.82 = 431,019.74/x
  3. Step 3: Cross multiply
    770,617.10x = 1,063,408.82 × 431,019.74
  4. Step 4: Simplify right side
    770,617.10x = 458,350,193,110.11
  5. Step 5: Solve for x
    x = 458,350,193,110.11/770,617.10
  6. Step 6: Final answer
    x = 594,783.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.