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Finding the Fourth Proportional to 328,193.93, 452,991.89 and 213,757.74

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Solution

The fourth proportional to 328,193.93, 452,991.89 and 213,757.74 is: 295,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,193.93 : 452,991.89 = 213,757.74 : x
  2. Step 2: Convert to fraction form
    328,193.93/452,991.89 = 213,757.74/x
  3. Step 3: Cross multiply
    328,193.93x = 452,991.89 × 213,757.74
  4. Step 4: Simplify right side
    328,193.93x = 96,830,523,179.12
  5. Step 5: Solve for x
    x = 96,830,523,179.12/328,193.93
  6. Step 6: Final answer
    x = 295,040.56

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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.