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Finding the Fourth Proportional to 509,124.87, 764,002.66 and 295,993.09

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Solution

The fourth proportional to 509,124.87, 764,002.66 and 295,993.09 is: 444,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,124.87 : 764,002.66 = 295,993.09 : x
  2. Step 2: Convert to fraction form
    509,124.87/764,002.66 = 295,993.09/x
  3. Step 3: Cross multiply
    509,124.87x = 764,002.66 × 295,993.09
  4. Step 4: Simplify right side
    509,124.87x = 226,139,507,971.59
  5. Step 5: Solve for x
    x = 226,139,507,971.59/509,124.87
  6. Step 6: Final answer
    x = 444,172.98

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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.