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Finding the Fourth Proportional to 531,860.97, 733,967.07 and 290,143.46

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Solution

The fourth proportional to 531,860.97, 733,967.07 and 290,143.46 is: 400,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,860.97 : 733,967.07 = 290,143.46 : x
  2. Step 2: Convert to fraction form
    531,860.97/733,967.07 = 290,143.46/x
  3. Step 3: Cross multiply
    531,860.97x = 733,967.07 × 290,143.46
  4. Step 4: Simplify right side
    531,860.97x = 212,955,741,546.03
  5. Step 5: Solve for x
    x = 212,955,741,546.03/531,860.97
  6. Step 6: Final answer
    x = 400,397.38

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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.