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Finding the Fourth Proportional to 339,295.23, 468,264.85 and 194,114.48

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Solution

The fourth proportional to 339,295.23, 468,264.85 and 194,114.48 is: 267,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,295.23 : 468,264.85 = 194,114.48 : x
  2. Step 2: Convert to fraction form
    339,295.23/468,264.85 = 194,114.48/x
  3. Step 3: Cross multiply
    339,295.23x = 468,264.85 × 194,114.48
  4. Step 4: Simplify right side
    339,295.23x = 90,896,985,033.42
  5. Step 5: Solve for x
    x = 90,896,985,033.42/339,295.23
  6. Step 6: Final answer
    x = 267,899.39

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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.