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Finding the Fourth Proportional to 778,408.04, 1,074,202.62 and 420,712.04

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Solution

The fourth proportional to 778,408.04, 1,074,202.62 and 420,712.04 is: 580,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,408.04 : 1,074,202.62 = 420,712.04 : x
  2. Step 2: Convert to fraction form
    778,408.04/1,074,202.62 = 420,712.04/x
  3. Step 3: Cross multiply
    778,408.04x = 1,074,202.62 × 420,712.04
  4. Step 4: Simplify right side
    778,408.04x = 451,929,975,633.55
  5. Step 5: Solve for x
    x = 451,929,975,633.55/778,408.04
  6. Step 6: Final answer
    x = 580,582.36

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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.