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Finding the Fourth Proportional to 777,924.12, 1,073,533.68 and 420,228.12

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Solution

The fourth proportional to 777,924.12, 1,073,533.68 and 420,228.12 is: 579,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,924.12 : 1,073,533.68 = 420,228.12 : x
  2. Step 2: Convert to fraction form
    777,924.12/1,073,533.68 = 420,228.12/x
  3. Step 3: Cross multiply
    777,924.12x = 1,073,533.68 × 420,228.12
  4. Step 4: Simplify right side
    777,924.12x = 451,129,040,103.08
  5. Step 5: Solve for x
    x = 451,129,040,103.08/777,924.12
  6. Step 6: Final answer
    x = 579,913.94

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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.