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Finding the Fourth Proportional to 509,629.14, 764,435.07 and 177,196.50

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Solution

The fourth proportional to 509,629.14, 764,435.07 and 177,196.50 is: 265,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,629.14 : 764,435.07 = 177,196.50 : x
  2. Step 2: Convert to fraction form
    509,629.14/764,435.07 = 177,196.50/x
  3. Step 3: Cross multiply
    509,629.14x = 764,435.07 × 177,196.50
  4. Step 4: Simplify right side
    509,629.14x = 135,455,218,881.26
  5. Step 5: Solve for x
    x = 135,455,218,881.26/509,629.14
  6. Step 6: Final answer
    x = 265,791.75

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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.