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Finding the Fourth Proportional to 271,697.06, 407,015.43 and 177,918.50

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Solution

The fourth proportional to 271,697.06, 407,015.43 and 177,918.50 is: 266,530.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,697.06 : 407,015.43 = 177,918.50 : x
  2. Step 2: Convert to fraction form
    271,697.06/407,015.43 = 177,918.50/x
  3. Step 3: Cross multiply
    271,697.06x = 407,015.43 × 177,918.50
  4. Step 4: Simplify right side
    271,697.06x = 72,415,574,782.46
  5. Step 5: Solve for x
    x = 72,415,574,782.46/271,697.06
  6. Step 6: Final answer
    x = 266,530.58

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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.