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Finding the Fourth Proportional to 764,441, 1,054,929.24 and 420,282.78

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Solution

The fourth proportional to 764,441, 1,054,929.24 and 420,282.78 is: 579,990.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,441 : 1,054,929.24 = 420,282.78 : x
  2. Step 2: Convert to fraction form
    764,441/1,054,929.24 = 420,282.78/x
  3. Step 3: Cross multiply
    764,441x = 1,054,929.24 × 420,282.78
  4. Step 4: Simplify right side
    764,441x = 443,368,593,690.49
  5. Step 5: Solve for x
    x = 443,368,593,690.49/764,441
  6. Step 6: Final answer
    x = 579,990.60

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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.