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Finding the Fourth Proportional to 405,725.92, 608,644.25 and 169,013.24

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Solution

The fourth proportional to 405,725.92, 608,644.25 and 169,013.24 is: 253,542.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,725.92 : 608,644.25 = 169,013.24 : x
  2. Step 2: Convert to fraction form
    405,725.92/608,644.25 = 169,013.24/x
  3. Step 3: Cross multiply
    405,725.92x = 608,644.25 × 169,013.24
  4. Step 4: Simplify right side
    405,725.92x = 102,868,936,699.87
  5. Step 5: Solve for x
    x = 102,868,936,699.87/405,725.92
  6. Step 6: Final answer
    x = 253,542.93

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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.