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Finding the Fourth Proportional to 601,321.31, 829,836.82 and 343,193.08

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Solution

The fourth proportional to 601,321.31, 829,836.82 and 343,193.08 is: 473,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,321.31 : 829,836.82 = 343,193.08 : x
  2. Step 2: Convert to fraction form
    601,321.31/829,836.82 = 343,193.08/x
  3. Step 3: Cross multiply
    601,321.31x = 829,836.82 × 343,193.08
  4. Step 4: Simplify right side
    601,321.31x = 284,794,251,220.63
  5. Step 5: Solve for x
    x = 284,794,251,220.63/601,321.31
  6. Step 6: Final answer
    x = 473,614.10

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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.