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Finding the Fourth Proportional to 407,933.46, 562,965.71 and 226,645.38

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Solution

The fourth proportional to 407,933.46, 562,965.71 and 226,645.38 is: 312,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,933.46 : 562,965.71 = 226,645.38 : x
  2. Step 2: Convert to fraction form
    407,933.46/562,965.71 = 226,645.38/x
  3. Step 3: Cross multiply
    407,933.46x = 562,965.71 × 226,645.38
  4. Step 4: Simplify right side
    407,933.46x = 127,593,576,136.69
  5. Step 5: Solve for x
    x = 127,593,576,136.69/407,933.46
  6. Step 6: Final answer
    x = 312,780.36

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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.