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Finding the Fourth Proportional to 407,134.66, 610,507.86 and 182,496.97

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Solution

The fourth proportional to 407,134.66, 610,507.86 and 182,496.97 is: 273,658.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,134.66 : 610,507.86 = 182,496.97 : x
  2. Step 2: Convert to fraction form
    407,134.66/610,507.86 = 182,496.97/x
  3. Step 3: Cross multiply
    407,134.66x = 610,507.86 × 182,496.97
  4. Step 4: Simplify right side
    407,134.66x = 111,415,834,611.18
  5. Step 5: Solve for x
    x = 111,415,834,611.18/407,134.66
  6. Step 6: Final answer
    x = 273,658.44

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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.