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Finding the Fourth Proportional to 601,097.31, 829,512.98 and 325,453.79

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Solution

The fourth proportional to 601,097.31, 829,512.98 and 325,453.79 is: 449,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,097.31 : 829,512.98 = 325,453.79 : x
  2. Step 2: Convert to fraction form
    601,097.31/829,512.98 = 325,453.79/x
  3. Step 3: Cross multiply
    601,097.31x = 829,512.98 × 325,453.79
  4. Step 4: Simplify right side
    601,097.31x = 269,968,137,420.36
  5. Step 5: Solve for x
    x = 269,968,137,420.36/601,097.31
  6. Step 6: Final answer
    x = 449,125.51

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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.