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Finding the Fourth Proportional to 386,632.50, 533,551.76 and 214,576.44

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Solution

The fourth proportional to 386,632.50, 533,551.76 and 214,576.44 is: 296,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,632.50 : 533,551.76 = 214,576.44 : x
  2. Step 2: Convert to fraction form
    386,632.50/533,551.76 = 214,576.44/x
  3. Step 3: Cross multiply
    386,632.50x = 533,551.76 × 214,576.44
  4. Step 4: Simplify right side
    386,632.50x = 114,487,633,475.89
  5. Step 5: Solve for x
    x = 114,487,633,475.89/386,632.50
  6. Step 6: Final answer
    x = 296,114.88

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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.