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Finding the Fourth Proportional to 384,701.94, 530,872.16 and 212,611.01

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Solution

The fourth proportional to 384,701.94, 530,872.16 and 212,611.01 is: 293,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,701.94 : 530,872.16 = 212,611.01 : x
  2. Step 2: Convert to fraction form
    384,701.94/530,872.16 = 212,611.01/x
  3. Step 3: Cross multiply
    384,701.94x = 530,872.16 × 212,611.01
  4. Step 4: Simplify right side
    384,701.94x = 112,869,269,719.73
  5. Step 5: Solve for x
    x = 112,869,269,719.73/384,701.94
  6. Step 6: Final answer
    x = 293,394.07

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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.