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Finding the Fourth Proportional to 405,726.22, 608,644.70 and 169,013.54

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Solution

The fourth proportional to 405,726.22, 608,644.70 and 169,013.54 is: 253,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,726.22 : 608,644.70 = 169,013.54 : x
  2. Step 2: Convert to fraction form
    405,726.22/608,644.70 = 169,013.54/x
  3. Step 3: Cross multiply
    405,726.22x = 608,644.70 × 169,013.54
  4. Step 4: Simplify right side
    405,726.22x = 102,869,194,504.17
  5. Step 5: Solve for x
    x = 102,869,194,504.17/405,726.22
  6. Step 6: Final answer
    x = 253,543.37

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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.