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Finding the Fourth Proportional to 477,142.88, 658,458.54 and 273,196.94

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Solution

The fourth proportional to 477,142.88, 658,458.54 and 273,196.94 is: 377,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,142.88 : 658,458.54 = 273,196.94 : x
  2. Step 2: Convert to fraction form
    477,142.88/658,458.54 = 273,196.94/x
  3. Step 3: Cross multiply
    477,142.88x = 658,458.54 × 273,196.94
  4. Step 4: Simplify right side
    477,142.88x = 179,888,854,952.58
  5. Step 5: Solve for x
    x = 179,888,854,952.58/477,142.88
  6. Step 6: Final answer
    x = 377,012.56

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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.