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Finding the Fourth Proportional to 531,196.54, 733,029.90 and 289,473.96

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Solution

The fourth proportional to 531,196.54, 733,029.90 and 289,473.96 is: 399,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,196.54 : 733,029.90 = 289,473.96 : x
  2. Step 2: Convert to fraction form
    531,196.54/733,029.90 = 289,473.96/x
  3. Step 3: Cross multiply
    531,196.54x = 733,029.90 × 289,473.96
  4. Step 4: Simplify right side
    531,196.54x = 212,193,067,951.40
  5. Step 5: Solve for x
    x = 212,193,067,951.40/531,196.54
  6. Step 6: Final answer
    x = 399,462.44

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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.