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Finding the Fourth Proportional to 331,493.40, 497,673.72 and 196,803.36

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Solution

The fourth proportional to 331,493.40, 497,673.72 and 196,803.36 is: 295,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,493.40 : 497,673.72 = 196,803.36 : x
  2. Step 2: Convert to fraction form
    331,493.40/497,673.72 = 196,803.36/x
  3. Step 3: Cross multiply
    331,493.40x = 497,673.72 × 196,803.36
  4. Step 4: Simplify right side
    331,493.40x = 97,943,860,279.70
  5. Step 5: Solve for x
    x = 97,943,860,279.70/331,493.40
  6. Step 6: Final answer
    x = 295,462.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.