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Finding the Fourth Proportional to 531,474, 733,434.12 and 293,010

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Solution

The fourth proportional to 531,474, 733,434.12 and 293,010 is: 404,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,474 : 733,434.12 = 293,010 : x
  2. Step 2: Convert to fraction form
    531,474/733,434.12 = 293,010/x
  3. Step 3: Cross multiply
    531,474x = 733,434.12 × 293,010
  4. Step 4: Simplify right side
    531,474x = 214,903,531,501.20
  5. Step 5: Solve for x
    x = 214,903,531,501.20/531,474
  6. Step 6: Final answer
    x = 404,353.80

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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.