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Finding the Fourth Proportional to 509,815.76, 764,224.88 and 210,548.50

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Solution

The fourth proportional to 509,815.76, 764,224.88 and 210,548.50 is: 315,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,815.76 : 764,224.88 = 210,548.50 : x
  2. Step 2: Convert to fraction form
    509,815.76/764,224.88 = 210,548.50/x
  3. Step 3: Cross multiply
    509,815.76x = 764,224.88 × 210,548.50
  4. Step 4: Simplify right side
    509,815.76x = 160,906,399,183.38
  5. Step 5: Solve for x
    x = 160,906,399,183.38/509,815.76
  6. Step 6: Final answer
    x = 315,616.76

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Why These Related Problems?

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