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Finding the Fourth Proportional to 601,321.56, 829,837.16 and 343,193.33

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Solution

The fourth proportional to 601,321.56, 829,837.16 and 343,193.33 is: 473,614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,321.56 : 829,837.16 = 343,193.33 : x
  2. Step 2: Convert to fraction form
    601,321.56/829,837.16 = 343,193.33/x
  3. Step 3: Cross multiply
    601,321.56x = 829,837.16 × 343,193.33
  4. Step 4: Simplify right side
    601,321.56x = 284,794,578,298.14
  5. Step 5: Solve for x
    x = 284,794,578,298.14/601,321.56
  6. Step 6: Final answer
    x = 473,614.45

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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.