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Finding the Fourth Proportional to 509,437, 764,272.14 and 177,013

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Solution

The fourth proportional to 509,437, 764,272.14 and 177,013 is: 265,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,437 : 764,272.14 = 177,013 : x
  2. Step 2: Convert to fraction form
    509,437/764,272.14 = 177,013/x
  3. Step 3: Cross multiply
    509,437x = 764,272.14 × 177,013
  4. Step 4: Simplify right side
    509,437x = 135,286,104,317.82
  5. Step 5: Solve for x
    x = 135,286,104,317.82/509,437
  6. Step 6: Final answer
    x = 265,560.03

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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.