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Finding the Fourth Proportional to 509,910, 764,956.08 and 210,223.92

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Solution

The fourth proportional to 509,910, 764,956.08 and 210,223.92 is: 315,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,910 : 764,956.08 = 210,223.92 : x
  2. Step 2: Convert to fraction form
    509,910/764,956.08 = 210,223.92/x
  3. Step 3: Cross multiply
    509,910x = 764,956.08 × 210,223.92
  4. Step 4: Simplify right side
    509,910x = 160,812,065,765.43
  5. Step 5: Solve for x
    x = 160,812,065,765.43/509,910
  6. Step 6: Final answer
    x = 315,373.43

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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.