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Finding the Fourth Proportional to 386,728.18, 533,685.09 and 214,646.22

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Solution

The fourth proportional to 386,728.18, 533,685.09 and 214,646.22 is: 296,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,728.18 : 533,685.09 = 214,646.22 : x
  2. Step 2: Convert to fraction form
    386,728.18/533,685.09 = 214,646.22/x
  3. Step 3: Cross multiply
    386,728.18x = 533,685.09 × 214,646.22
  4. Step 4: Simplify right side
    386,728.18x = 114,553,487,238.86
  5. Step 5: Solve for x
    x = 114,553,487,238.86/386,728.18
  6. Step 6: Final answer
    x = 296,211.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.