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Finding the Fourth Proportional to 764,705.63, 1,055,320.83 and 420,568.16

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Solution

The fourth proportional to 764,705.63, 1,055,320.83 and 420,568.16 is: 580,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,705.63 : 1,055,320.83 = 420,568.16 : x
  2. Step 2: Convert to fraction form
    764,705.63/1,055,320.83 = 420,568.16/x
  3. Step 3: Cross multiply
    764,705.63x = 1,055,320.83 × 420,568.16
  4. Step 4: Simplify right side
    764,705.63x = 443,834,334,406.17
  5. Step 5: Solve for x
    x = 443,834,334,406.17/764,705.63
  6. Step 6: Final answer
    x = 580,398.94

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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.