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Finding the Fourth Proportional to 384,596.75, 530,732.34 and 212,511.98

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Solution

The fourth proportional to 384,596.75, 530,732.34 and 212,511.98 is: 293,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,596.75 : 530,732.34 = 212,511.98 : x
  2. Step 2: Convert to fraction form
    384,596.75/530,732.34 = 212,511.98/x
  3. Step 3: Cross multiply
    384,596.75x = 530,732.34 × 212,511.98
  4. Step 4: Simplify right side
    384,596.75x = 112,786,980,423.43
  5. Step 5: Solve for x
    x = 112,786,980,423.43/384,596.75
  6. Step 6: Final answer
    x = 293,260.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.