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Finding the Fourth Proportional to 294,405.60, 441,754.20 and 168,142.80

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Solution

The fourth proportional to 294,405.60, 441,754.20 and 168,142.80 is: 252,297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,405.60 : 441,754.20 = 168,142.80 : x
  2. Step 2: Convert to fraction form
    294,405.60/441,754.20 = 168,142.80/x
  3. Step 3: Cross multiply
    294,405.60x = 441,754.20 × 168,142.80
  4. Step 4: Simplify right side
    294,405.60x = 74,277,788,099.76
  5. Step 5: Solve for x
    x = 74,277,788,099.76/294,405.60
  6. Step 6: Final answer
    x = 252,297.47

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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.