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Finding the Fourth Proportional to 764,728.12, 1,055,206.56 and 442,468.30

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Solution

The fourth proportional to 764,728.12, 1,055,206.56 and 442,468.30 is: 610,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,728.12 : 1,055,206.56 = 442,468.30 : x
  2. Step 2: Convert to fraction form
    764,728.12/1,055,206.56 = 442,468.30/x
  3. Step 3: Cross multiply
    764,728.12x = 1,055,206.56 × 442,468.30
  4. Step 4: Simplify right side
    764,728.12x = 466,895,452,752.05
  5. Step 5: Solve for x
    x = 466,895,452,752.05/764,728.12
  6. Step 6: Final answer
    x = 610,537.84

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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.