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Finding the Fourth Proportional to 310,940.20, 429,092.44 and 174,974.07

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Solution

The fourth proportional to 310,940.20, 429,092.44 and 174,974.07 is: 241,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,940.20 : 429,092.44 = 174,974.07 : x
  2. Step 2: Convert to fraction form
    310,940.20/429,092.44 = 174,974.07/x
  3. Step 3: Cross multiply
    310,940.20x = 429,092.44 × 174,974.07
  4. Step 4: Simplify right side
    310,940.20x = 75,080,050,633.03
  5. Step 5: Solve for x
    x = 75,080,050,633.03/310,940.20
  6. Step 6: Final answer
    x = 241,461.38

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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.