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Finding the Fourth Proportional to 509,712, 764,660.22 and 210,025.92

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Solution

The fourth proportional to 509,712, 764,660.22 and 210,025.92 is: 315,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,712 : 764,660.22 = 210,025.92 : x
  2. Step 2: Convert to fraction form
    509,712/764,660.22 = 210,025.92/x
  3. Step 3: Cross multiply
    509,712x = 764,660.22 × 210,025.92
  4. Step 4: Simplify right side
    509,712x = 160,598,466,192.90
  5. Step 5: Solve for x
    x = 160,598,466,192.90/509,712
  6. Step 6: Final answer
    x = 315,076.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.