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Finding the Fourth Proportional to 531,774.40, 733,850.97 and 290,062.17

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Solution

The fourth proportional to 531,774.40, 733,850.97 and 290,062.17 is: 400,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,774.40 : 733,850.97 = 290,062.17 : x
  2. Step 2: Convert to fraction form
    531,774.40/733,850.97 = 290,062.17/x
  3. Step 3: Cross multiply
    531,774.40x = 733,850.97 × 290,062.17
  4. Step 4: Simplify right side
    531,774.40x = 212,862,404,814.81
  5. Step 5: Solve for x
    x = 212,862,404,814.81/531,774.40
  6. Step 6: Final answer
    x = 400,287.05

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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.