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Finding the Fourth Proportional to 400,841.52, 601,247.69 and 120,351.48

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Solution

The fourth proportional to 400,841.52, 601,247.69 and 120,351.48 is: 180,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,841.52 : 601,247.69 = 120,351.48 : x
  2. Step 2: Convert to fraction form
    400,841.52/601,247.69 = 120,351.48/x
  3. Step 3: Cross multiply
    400,841.52x = 601,247.69 × 120,351.48
  4. Step 4: Simplify right side
    400,841.52x = 72,361,049,338.08
  5. Step 5: Solve for x
    x = 72,361,049,338.08/400,841.52
  6. Step 6: Final answer
    x = 180,522.84

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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.