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Finding the Fourth Proportional to 311,324.31, 429,659.91 and 190,546.02

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Solution

The fourth proportional to 311,324.31, 429,659.91 and 190,546.02 is: 262,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,324.31 : 429,659.91 = 190,546.02 : x
  2. Step 2: Convert to fraction form
    311,324.31/429,659.91 = 190,546.02/x
  3. Step 3: Cross multiply
    311,324.31x = 429,659.91 × 190,546.02
  4. Step 4: Simplify right side
    311,324.31x = 81,869,985,804.06
  5. Step 5: Solve for x
    x = 81,869,985,804.06/311,324.31
  6. Step 6: Final answer
    x = 262,973.31

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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.