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Finding the Fourth Proportional to 531,586, 733,588.68 and 293,122

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Solution

The fourth proportional to 531,586, 733,588.68 and 293,122 is: 404,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,586 : 733,588.68 = 293,122 : x
  2. Step 2: Convert to fraction form
    531,586/733,588.68 = 293,122/x
  3. Step 3: Cross multiply
    531,586x = 733,588.68 × 293,122
  4. Step 4: Simplify right side
    531,586x = 215,030,981,058.96
  5. Step 5: Solve for x
    x = 215,030,981,058.96/531,586
  6. Step 6: Final answer
    x = 404,508.36

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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.