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Finding the Fourth Proportional to 303,496.82, 418,825.70 and 167,530.86

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Solution

The fourth proportional to 303,496.82, 418,825.70 and 167,530.86 is: 231,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,496.82 : 418,825.70 = 167,530.86 : x
  2. Step 2: Convert to fraction form
    303,496.82/418,825.70 = 167,530.86/x
  3. Step 3: Cross multiply
    303,496.82x = 418,825.70 × 167,530.86
  4. Step 4: Simplify right side
    303,496.82x = 70,166,229,711.10
  5. Step 5: Solve for x
    x = 70,166,229,711.10/303,496.82
  6. Step 6: Final answer
    x = 231,192.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.