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Finding the Fourth Proportional to 367,278.30, 506,949.03 and 238,213.98

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Solution

The fourth proportional to 367,278.30, 506,949.03 and 238,213.98 is: 328,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,278.30 : 506,949.03 = 238,213.98 : x
  2. Step 2: Convert to fraction form
    367,278.30/506,949.03 = 238,213.98/x
  3. Step 3: Cross multiply
    367,278.30x = 506,949.03 × 238,213.98
  4. Step 4: Simplify right side
    367,278.30x = 120,762,346,093.44
  5. Step 5: Solve for x
    x = 120,762,346,093.44/367,278.30
  6. Step 6: Final answer
    x = 328,803.38

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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.