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Finding the Fourth Proportional to 412,543.44, 618,858.36 and 175,911.12

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Solution

The fourth proportional to 412,543.44, 618,858.36 and 175,911.12 is: 263,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,543.44 : 618,858.36 = 175,911.12 : x
  2. Step 2: Convert to fraction form
    412,543.44/618,858.36 = 175,911.12/x
  3. Step 3: Cross multiply
    412,543.44x = 618,858.36 × 175,911.12
  4. Step 4: Simplify right side
    412,543.44x = 108,864,067,228.96
  5. Step 5: Solve for x
    x = 108,864,067,228.96/412,543.44
  6. Step 6: Final answer
    x = 263,885.10

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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.