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Finding the Fourth Proportional to 777,801.75, 1,073,367.14 and 420,105.75

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Solution

The fourth proportional to 777,801.75, 1,073,367.14 and 420,105.75 is: 579,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,801.75 : 1,073,367.14 = 420,105.75 : x
  2. Step 2: Convert to fraction form
    777,801.75/1,073,367.14 = 420,105.75/x
  3. Step 3: Cross multiply
    777,801.75x = 1,073,367.14 × 420,105.75
  4. Step 4: Simplify right side
    777,801.75x = 450,927,705,274.53
  5. Step 5: Solve for x
    x = 450,927,705,274.53/777,801.75
  6. Step 6: Final answer
    x = 579,746.32

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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.