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Finding the Fourth Proportional to 382,495.02, 527,861.84 and 212,725.50

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Solution

The fourth proportional to 382,495.02, 527,861.84 and 212,725.50 is: 293,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,495.02 : 527,861.84 = 212,725.50 : x
  2. Step 2: Convert to fraction form
    382,495.02/527,861.84 = 212,725.50/x
  3. Step 3: Cross multiply
    382,495.02x = 527,861.84 × 212,725.50
  4. Step 4: Simplify right side
    382,495.02x = 112,289,672,781.29
  5. Step 5: Solve for x
    x = 112,289,672,781.29/382,495.02
  6. Step 6: Final answer
    x = 293,571.59

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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.