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Finding the Fourth Proportional to 382,262.68, 527,554.38 and 212,512.60

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Solution

The fourth proportional to 382,262.68, 527,554.38 and 212,512.60 is: 293,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,262.68 : 527,554.38 = 212,512.60 : x
  2. Step 2: Convert to fraction form
    382,262.68/527,554.38 = 212,512.60/x
  3. Step 3: Cross multiply
    382,262.68x = 527,554.38 × 212,512.60
  4. Step 4: Simplify right side
    382,262.68x = 112,111,952,935.19
  5. Step 5: Solve for x
    x = 112,111,952,935.19/382,262.68
  6. Step 6: Final answer
    x = 293,285.11

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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.