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Finding the Fourth Proportional to 406,230.82, 560,597.53 and 234,147.38

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Solution

The fourth proportional to 406,230.82, 560,597.53 and 234,147.38 is: 323,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,230.82 : 560,597.53 = 234,147.38 : x
  2. Step 2: Convert to fraction form
    406,230.82/560,597.53 = 234,147.38/x
  3. Step 3: Cross multiply
    406,230.82x = 560,597.53 × 234,147.38
  4. Step 4: Simplify right side
    406,230.82x = 131,262,442,883.97
  5. Step 5: Solve for x
    x = 131,262,442,883.97/406,230.82
  6. Step 6: Final answer
    x = 323,122.81

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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.