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Finding the Fourth Proportional to 504,381.68, 756,489.36 and 204,850.16

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Solution

The fourth proportional to 504,381.68, 756,489.36 and 204,850.16 is: 307,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,381.68 : 756,489.36 = 204,850.16 : x
  2. Step 2: Convert to fraction form
    504,381.68/756,489.36 = 204,850.16/x
  3. Step 3: Cross multiply
    504,381.68x = 756,489.36 × 204,850.16
  4. Step 4: Simplify right side
    504,381.68x = 154,966,966,434.30
  5. Step 5: Solve for x
    x = 154,966,966,434.30/504,381.68
  6. Step 6: Final answer
    x = 307,241.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.