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Finding the Fourth Proportional to 406,319.82, 560,583.36 and 234,232.26

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Solution

The fourth proportional to 406,319.82, 560,583.36 and 234,232.26 is: 323,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,319.82 : 560,583.36 = 234,232.26 : x
  2. Step 2: Convert to fraction form
    406,319.82/560,583.36 = 234,232.26/x
  3. Step 3: Cross multiply
    406,319.82x = 560,583.36 × 234,232.26
  4. Step 4: Simplify right side
    406,319.82x = 131,306,707,331.19
  5. Step 5: Solve for x
    x = 131,306,707,331.19/406,319.82
  6. Step 6: Final answer
    x = 323,160.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.