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Finding the Fourth Proportional to 406,229.82, 560,596.15 and 234,146.38

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Solution

The fourth proportional to 406,229.82, 560,596.15 and 234,146.38 is: 323,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,229.82 : 560,596.15 = 234,146.38 : x
  2. Step 2: Convert to fraction form
    406,229.82/560,596.15 = 234,146.38/x
  3. Step 3: Cross multiply
    406,229.82x = 560,596.15 × 234,146.38
  4. Step 4: Simplify right side
    406,229.82x = 131,261,559,164.44
  5. Step 5: Solve for x
    x = 131,261,559,164.44/406,229.82
  6. Step 6: Final answer
    x = 323,121.43

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1.5x scale

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.