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Finding the Fourth Proportional to 764,709.75, 1,055,326.55 and 420,572.30

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Solution

The fourth proportional to 764,709.75, 1,055,326.55 and 420,572.30 is: 580,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,709.75 : 1,055,326.55 = 420,572.30 : x
  2. Step 2: Convert to fraction form
    764,709.75/1,055,326.55 = 420,572.30/x
  3. Step 3: Cross multiply
    764,709.75x = 1,055,326.55 × 420,572.30
  4. Step 4: Simplify right side
    764,709.75x = 443,841,112,797.68
  5. Step 5: Solve for x
    x = 443,841,112,797.68/764,709.75
  6. Step 6: Final answer
    x = 580,404.67

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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.