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Finding the Fourth Proportional to 386,963.97, 533,992.33 and 214,892.86

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Solution

The fourth proportional to 386,963.97, 533,992.33 and 214,892.86 is: 296,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,963.97 : 533,992.33 = 214,892.86 : x
  2. Step 2: Convert to fraction form
    386,963.97/533,992.33 = 214,892.86/x
  3. Step 3: Cross multiply
    386,963.97x = 533,992.33 × 214,892.86
  4. Step 4: Simplify right side
    386,963.97x = 114,751,139,011.76
  5. Step 5: Solve for x
    x = 114,751,139,011.76/386,963.97
  6. Step 6: Final answer
    x = 296,542.18

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1.5x scale

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.