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Finding the Fourth Proportional to 601,369.31, 829,887.19 and 329,436.82

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Solution

The fourth proportional to 601,369.31, 829,887.19 and 329,436.82 is: 454,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,369.31 : 829,887.19 = 329,436.82 : x
  2. Step 2: Convert to fraction form
    601,369.31/829,887.19 = 329,436.82/x
  3. Step 3: Cross multiply
    601,369.31x = 829,887.19 × 329,436.82
  4. Step 4: Simplify right side
    601,369.31x = 273,395,396,832.34
  5. Step 5: Solve for x
    x = 273,395,396,832.34/601,369.31
  6. Step 6: Final answer
    x = 454,621.47

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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.