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Finding the Fourth Proportional to 394,461.80, 591,779.10 and 194,877.80

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Solution

The fourth proportional to 394,461.80, 591,779.10 and 194,877.80 is: 292,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,461.80 : 591,779.10 = 194,877.80 : x
  2. Step 2: Convert to fraction form
    394,461.80/591,779.10 = 194,877.80/x
  3. Step 3: Cross multiply
    394,461.80x = 591,779.10 × 194,877.80
  4. Step 4: Simplify right side
    394,461.80x = 115,324,609,093.98
  5. Step 5: Solve for x
    x = 115,324,609,093.98/394,461.80
  6. Step 6: Final answer
    x = 292,359.38

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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.