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Finding the Fourth Proportional to 386,644.58, 533,568.36 and 214,588.46

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Solution

The fourth proportional to 386,644.58, 533,568.36 and 214,588.46 is: 296,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,644.58 : 533,568.36 = 214,588.46 : x
  2. Step 2: Convert to fraction form
    386,644.58/533,568.36 = 214,588.46/x
  3. Step 3: Cross multiply
    386,644.58x = 533,568.36 × 214,588.46
  4. Step 4: Simplify right side
    386,644.58x = 114,497,610,009.28
  5. Step 5: Solve for x
    x = 114,497,610,009.28/386,644.58
  6. Step 6: Final answer
    x = 296,131.43

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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.