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Finding the Fourth Proportional to 406,440.26, 560,773 and 234,344.69

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Solution

The fourth proportional to 406,440.26, 560,773 and 234,344.69 is: 323,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,440.26 : 560,773 = 234,344.69 : x
  2. Step 2: Convert to fraction form
    406,440.26/560,773 = 234,344.69/x
  3. Step 3: Cross multiply
    406,440.26x = 560,773 × 234,344.69
  4. Step 4: Simplify right side
    406,440.26x = 131,414,174,845.37
  5. Step 5: Solve for x
    x = 131,414,174,845.37/406,440.26
  6. Step 6: Final answer
    x = 323,329.62

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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.