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Finding the Fourth Proportional to 293,720, 405,334.68 and 159,584

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Solution

The fourth proportional to 293,720, 405,334.68 and 159,584 is: 220,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,720 : 405,334.68 = 159,584 : x
  2. Step 2: Convert to fraction form
    293,720/405,334.68 = 159,584/x
  3. Step 3: Cross multiply
    293,720x = 405,334.68 × 159,584
  4. Step 4: Simplify right side
    293,720x = 64,684,929,573.12
  5. Step 5: Solve for x
    x = 64,684,929,573.12/293,720
  6. Step 6: Final answer
    x = 220,226.51

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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.