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Finding the Fourth Proportional to 293,714, 405,325.36 and 159,578

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Solution

The fourth proportional to 293,714, 405,325.36 and 159,578 is: 220,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,714 : 405,325.36 = 159,578 : x
  2. Step 2: Convert to fraction form
    293,714/405,325.36 = 159,578/x
  3. Step 3: Cross multiply
    293,714x = 405,325.36 × 159,578
  4. Step 4: Simplify right side
    293,714x = 64,681,010,298.08
  5. Step 5: Solve for x
    x = 64,681,010,298.08/293,714
  6. Step 6: Final answer
    x = 220,217.66

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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.