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Finding the Fourth Proportional to 531,198.52, 733,032.64 and 289,475.96

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Solution

The fourth proportional to 531,198.52, 733,032.64 and 289,475.96 is: 399,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,198.52 : 733,032.64 = 289,475.96 : x
  2. Step 2: Convert to fraction form
    531,198.52/733,032.64 = 289,475.96/x
  3. Step 3: Cross multiply
    531,198.52x = 733,032.64 × 289,475.96
  4. Step 4: Simplify right side
    531,198.52x = 212,195,327,175.33
  5. Step 5: Solve for x
    x = 212,195,327,175.33/531,198.52
  6. Step 6: Final answer
    x = 399,465.21

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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.