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Finding the Fourth Proportional to 405,996.52, 608,980.20 and 106,474.72

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Solution

The fourth proportional to 405,996.52, 608,980.20 and 106,474.72 is: 159,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,996.52 : 608,980.20 = 106,474.72 : x
  2. Step 2: Convert to fraction form
    405,996.52/608,980.20 = 106,474.72/x
  3. Step 3: Cross multiply
    405,996.52x = 608,980.20 × 106,474.72
  4. Step 4: Simplify right side
    405,996.52x = 64,840,996,280.54
  5. Step 5: Solve for x
    x = 64,840,996,280.54/405,996.52
  6. Step 6: Final answer
    x = 159,708.26

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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.