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Finding the Fourth Proportional to 401,028.40, 601,696.20 and 394,730.80

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Solution

The fourth proportional to 401,028.40, 601,696.20 and 394,730.80 is: 592,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,028.40 : 601,696.20 = 394,730.80 : x
  2. Step 2: Convert to fraction form
    401,028.40/601,696.20 = 394,730.80/x
  3. Step 3: Cross multiply
    401,028.40x = 601,696.20 × 394,730.80
  4. Step 4: Simplify right side
    401,028.40x = 237,508,022,382.96
  5. Step 5: Solve for x
    x = 237,508,022,382.96/401,028.40
  6. Step 6: Final answer
    x = 592,247.39

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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.