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Finding the Fourth Proportional to 447,662.62, 671,472.06 and 167,158

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Solution

The fourth proportional to 447,662.62, 671,472.06 and 167,158 is: 250,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,662.62 : 671,472.06 = 167,158 : x
  2. Step 2: Convert to fraction form
    447,662.62/671,472.06 = 167,158/x
  3. Step 3: Cross multiply
    447,662.62x = 671,472.06 × 167,158
  4. Step 4: Simplify right side
    447,662.62x = 112,241,926,605.48
  5. Step 5: Solve for x
    x = 112,241,926,605.48/447,662.62
  6. Step 6: Final answer
    x = 250,728.83

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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.