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Finding the Fourth Proportional to 531,472, 733,431.36 and 293,008

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Solution

The fourth proportional to 531,472, 733,431.36 and 293,008 is: 404,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,472 : 733,431.36 = 293,008 : x
  2. Step 2: Convert to fraction form
    531,472/733,431.36 = 293,008/x
  3. Step 3: Cross multiply
    531,472x = 733,431.36 × 293,008
  4. Step 4: Simplify right side
    531,472x = 214,901,255,930.88
  5. Step 5: Solve for x
    x = 214,901,255,930.88/531,472
  6. Step 6: Final answer
    x = 404,351.04

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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.