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Finding the Fourth Proportional to 293,794, 405,435.72 and 159,658

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Solution

The fourth proportional to 293,794, 405,435.72 and 159,658 is: 220,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,794 : 405,435.72 = 159,658 : x
  2. Step 2: Convert to fraction form
    293,794/405,435.72 = 159,658/x
  3. Step 3: Cross multiply
    293,794x = 405,435.72 × 159,658
  4. Step 4: Simplify right side
    293,794x = 64,731,056,183.76
  5. Step 5: Solve for x
    x = 64,731,056,183.76/293,794
  6. Step 6: Final answer
    x = 220,328.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.