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Finding the Fourth Proportional to 455,993.65, 684,004.29 and 156,469.96

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Solution

The fourth proportional to 455,993.65, 684,004.29 and 156,469.96 is: 234,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,993.65 : 684,004.29 = 156,469.96 : x
  2. Step 2: Convert to fraction form
    455,993.65/684,004.29 = 156,469.96/x
  3. Step 3: Cross multiply
    455,993.65x = 684,004.29 × 156,469.96
  4. Step 4: Simplify right side
    455,993.65x = 107,026,123,896.13
  5. Step 5: Solve for x
    x = 107,026,123,896.13/455,993.65
  6. Step 6: Final answer
    x = 234,709.68

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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.