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Finding the Fourth Proportional to 405,993.08, 609,025.54 and 106,472.64

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Solution

The fourth proportional to 405,993.08, 609,025.54 and 106,472.64 is: 159,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,993.08 : 609,025.54 = 106,472.64 : x
  2. Step 2: Convert to fraction form
    405,993.08/609,025.54 = 106,472.64/x
  3. Step 3: Cross multiply
    405,993.08x = 609,025.54 × 106,472.64
  4. Step 4: Simplify right side
    405,993.08x = 64,844,557,071.23
  5. Step 5: Solve for x
    x = 64,844,557,071.23/405,993.08
  6. Step 6: Final answer
    x = 159,718.38

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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.