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Finding the Fourth Proportional to 412,515.56, 618,779.10 and 117,027.56

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Solution

The fourth proportional to 412,515.56, 618,779.10 and 117,027.56 is: 175,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,515.56 : 618,779.10 = 117,027.56 : x
  2. Step 2: Convert to fraction form
    412,515.56/618,779.10 = 117,027.56/x
  3. Step 3: Cross multiply
    412,515.56x = 618,779.10 × 117,027.56
  4. Step 4: Simplify right side
    412,515.56x = 72,414,208,252.00
  5. Step 5: Solve for x
    x = 72,414,208,252.00/412,515.56
  6. Step 6: Final answer
    x = 175,542.97

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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.