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Finding the Fourth Proportional to 384,862.36, 531,064.02 and 212,757.16

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Solution

The fourth proportional to 384,862.36, 531,064.02 and 212,757.16 is: 293,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,862.36 : 531,064.02 = 212,757.16 : x
  2. Step 2: Convert to fraction form
    384,862.36/531,064.02 = 212,757.16/x
  3. Step 3: Cross multiply
    384,862.36x = 531,064.02 × 212,757.16
  4. Step 4: Simplify right side
    384,862.36x = 112,987,672,673.38
  5. Step 5: Solve for x
    x = 112,987,672,673.38/384,862.36
  6. Step 6: Final answer
    x = 293,579.43

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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.