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Finding the Fourth Proportional to 403,162.35, 604,696.74 and 150,451.66

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Solution

The fourth proportional to 403,162.35, 604,696.74 and 150,451.66 is: 225,660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,162.35 : 604,696.74 = 150,451.66 : x
  2. Step 2: Convert to fraction form
    403,162.35/604,696.74 = 150,451.66/x
  3. Step 3: Cross multiply
    403,162.35x = 604,696.74 × 150,451.66
  4. Step 4: Simplify right side
    403,162.35x = 90,977,629,367.56
  5. Step 5: Solve for x
    x = 90,977,629,367.56/403,162.35
  6. Step 6: Final answer
    x = 225,660.04

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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.