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Finding the Fourth Proportional to 764,577.72, 1,055,096.08 and 420,414.32

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Solution

The fourth proportional to 764,577.72, 1,055,096.08 and 420,414.32 is: 580,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,577.72 : 1,055,096.08 = 420,414.32 : x
  2. Step 2: Convert to fraction form
    764,577.72/1,055,096.08 = 420,414.32/x
  3. Step 3: Cross multiply
    764,577.72x = 1,055,096.08 × 420,414.32
  4. Step 4: Simplify right side
    764,577.72x = 443,577,502,594.57
  5. Step 5: Solve for x
    x = 443,577,502,594.57/764,577.72
  6. Step 6: Final answer
    x = 580,160.12

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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.