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Finding the Fourth Proportional to 386,765.55, 533,728.17 and 214,673.49

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Solution

The fourth proportional to 386,765.55, 533,728.17 and 214,673.49 is: 296,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,765.55 : 533,728.17 = 214,673.49 : x
  2. Step 2: Convert to fraction form
    386,765.55/533,728.17 = 214,673.49/x
  3. Step 3: Cross multiply
    386,765.55x = 533,728.17 × 214,673.49
  4. Step 4: Simplify right side
    386,765.55x = 114,577,288,965.21
  5. Step 5: Solve for x
    x = 114,577,288,965.21/386,765.55
  6. Step 6: Final answer
    x = 296,244.82

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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.