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Finding the Fourth Proportional to 397,060.44, 547,941.69 and 224,978.10

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Solution

The fourth proportional to 397,060.44, 547,941.69 and 224,978.10 is: 310,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,060.44 : 547,941.69 = 224,978.10 : x
  2. Step 2: Convert to fraction form
    397,060.44/547,941.69 = 224,978.10/x
  3. Step 3: Cross multiply
    397,060.44x = 547,941.69 × 224,978.10
  4. Step 4: Simplify right side
    397,060.44x = 123,274,880,326.99
  5. Step 5: Solve for x
    x = 123,274,880,326.99/397,060.44
  6. Step 6: Final answer
    x = 310,468.81

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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.