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Finding the Fourth Proportional to 778,161.94, 1,073,863.47 and 420,465.94

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Solution

The fourth proportional to 778,161.94, 1,073,863.47 and 420,465.94 is: 580,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,161.94 : 1,073,863.47 = 420,465.94 : x
  2. Step 2: Convert to fraction form
    778,161.94/1,073,863.47 = 420,465.94/x
  3. Step 3: Cross multiply
    778,161.94x = 1,073,863.47 × 420,465.94
  4. Step 4: Simplify right side
    778,161.94x = 451,523,012,237.30
  5. Step 5: Solve for x
    x = 451,523,012,237.30/778,161.94
  6. Step 6: Final answer
    x = 580,242.99

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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.