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Finding the Fourth Proportional to 270,927.84, 406,469.52 and 177,317.76

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Solution

The fourth proportional to 270,927.84, 406,469.52 and 177,317.76 is: 266,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,927.84 : 406,469.52 = 177,317.76 : x
  2. Step 2: Convert to fraction form
    270,927.84/406,469.52 = 177,317.76/x
  3. Step 3: Cross multiply
    270,927.84x = 406,469.52 × 177,317.76
  4. Step 4: Simplify right side
    270,927.84x = 72,074,264,794.68
  5. Step 5: Solve for x
    x = 72,074,264,794.68/270,927.84
  6. Step 6: Final answer
    x = 266,027.53

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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.