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Finding the Fourth Proportional to 601,322.06, 829,837.82 and 343,193.85

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Solution

The fourth proportional to 601,322.06, 829,837.82 and 343,193.85 is: 473,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,322.06 : 829,837.82 = 343,193.85 : x
  2. Step 2: Convert to fraction form
    601,322.06/829,837.82 = 343,193.85/x
  3. Step 3: Cross multiply
    601,322.06x = 829,837.82 × 343,193.85
  4. Step 4: Simplify right side
    601,322.06x = 284,795,237,179.39
  5. Step 5: Solve for x
    x = 284,795,237,179.39/601,322.06
  6. Step 6: Final answer
    x = 473,615.15

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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.