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Finding the Fourth Proportional to 386,580.88, 533,508.25 and 216,825.94

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Solution

The fourth proportional to 386,580.88, 533,508.25 and 216,825.94 is: 299,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,580.88 : 533,508.25 = 216,825.94 : x
  2. Step 2: Convert to fraction form
    386,580.88/533,508.25 = 216,825.94/x
  3. Step 3: Cross multiply
    386,580.88x = 533,508.25 × 216,825.94
  4. Step 4: Simplify right side
    386,580.88x = 115,678,425,928.17
  5. Step 5: Solve for x
    x = 115,678,425,928.17/386,580.88
  6. Step 6: Final answer
    x = 299,234.73

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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.