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Finding the Fourth Proportional to 344,318.76, 515,367.10 and 177,877.80

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Solution

The fourth proportional to 344,318.76, 515,367.10 and 177,877.80 is: 266,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,318.76 : 515,367.10 = 177,877.80 : x
  2. Step 2: Convert to fraction form
    344,318.76/515,367.10 = 177,877.80/x
  3. Step 3: Cross multiply
    344,318.76x = 515,367.10 × 177,877.80
  4. Step 4: Simplify right side
    344,318.76x = 91,672,365,940.38
  5. Step 5: Solve for x
    x = 91,672,365,940.38/344,318.76
  6. Step 6: Final answer
    x = 266,242.73

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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.