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Finding the Fourth Proportional to 367,743, 507,148.38 and 238,546.92

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Solution

The fourth proportional to 367,743, 507,148.38 and 238,546.92 is: 328,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,743 : 507,148.38 = 238,546.92 : x
  2. Step 2: Convert to fraction form
    367,743/507,148.38 = 238,546.92/x
  3. Step 3: Cross multiply
    367,743x = 507,148.38 × 238,546.92
  4. Step 4: Simplify right side
    367,743x = 120,978,684,031.99
  5. Step 5: Solve for x
    x = 120,978,684,031.99/367,743
  6. Step 6: Final answer
    x = 328,976.17

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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.