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Finding the Fourth Proportional to 384,813.12, 530,996.10 and 212,707.84

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Solution

The fourth proportional to 384,813.12, 530,996.10 and 212,707.84 is: 293,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,813.12 : 530,996.10 = 212,707.84 : x
  2. Step 2: Convert to fraction form
    384,813.12/530,996.10 = 212,707.84/x
  3. Step 3: Cross multiply
    384,813.12x = 530,996.10 × 212,707.84
  4. Step 4: Simplify right side
    384,813.12x = 112,947,033,479.42
  5. Step 5: Solve for x
    x = 112,947,033,479.42/384,813.12
  6. Step 6: Final answer
    x = 293,511.39

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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.