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Finding the Fourth Proportional to 1,099,993.04, 1,649,925 and 301,215.80

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Solution

The fourth proportional to 1,099,993.04, 1,649,925 and 301,215.80 is: 451,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,993.04 : 1,649,925 = 301,215.80 : x
  2. Step 2: Convert to fraction form
    1,099,993.04/1,649,925 = 301,215.80/x
  3. Step 3: Cross multiply
    1,099,993.04x = 1,649,925 × 301,215.80
  4. Step 4: Simplify right side
    1,099,993.04x = 496,983,478,815
  5. Step 5: Solve for x
    x = 496,983,478,815/1,099,993.04
  6. Step 6: Final answer
    x = 451,806.02

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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.