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Finding the Fourth Proportional to 412,519.32, 618,779.46 and 113,002.47

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Solution

The fourth proportional to 412,519.32, 618,779.46 and 113,002.47 is: 169,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,519.32 : 618,779.46 = 113,002.47 : x
  2. Step 2: Convert to fraction form
    412,519.32/618,779.46 = 113,002.47/x
  3. Step 3: Cross multiply
    412,519.32x = 618,779.46 × 113,002.47
  4. Step 4: Simplify right side
    412,519.32x = 69,923,607,365.27
  5. Step 5: Solve for x
    x = 69,923,607,365.27/412,519.32
  6. Step 6: Final answer
    x = 169,503.84

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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.