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Finding the Fourth Proportional to 462,115.80, 693,246.60 and 146,604.60

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Solution

The fourth proportional to 462,115.80, 693,246.60 and 146,604.60 is: 219,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,115.80 : 693,246.60 = 146,604.60 : x
  2. Step 2: Convert to fraction form
    462,115.80/693,246.60 = 146,604.60/x
  3. Step 3: Cross multiply
    462,115.80x = 693,246.60 × 146,604.60
  4. Step 4: Simplify right side
    462,115.80x = 101,633,140,494.36
  5. Step 5: Solve for x
    x = 101,633,140,494.36/462,115.80
  6. Step 6: Final answer
    x = 219,930.03

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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.