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Finding the Fourth Proportional to 384,716.82, 530,936.69 and 212,631.10

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Solution

The fourth proportional to 384,716.82, 530,936.69 and 212,631.10 is: 293,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,716.82 : 530,936.69 = 212,631.10 : x
  2. Step 2: Convert to fraction form
    384,716.82/530,936.69 = 212,631.10/x
  3. Step 3: Cross multiply
    384,716.82x = 530,936.69 × 212,631.10
  4. Step 4: Simplify right side
    384,716.82x = 112,893,652,425.06
  5. Step 5: Solve for x
    x = 112,893,652,425.06/384,716.82
  6. Step 6: Final answer
    x = 293,446.11

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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.