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Finding the Fourth Proportional to 386,754.67, 533,711.14 and 214,672.13

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Solution

The fourth proportional to 386,754.67, 533,711.14 and 214,672.13 is: 296,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,754.67 : 533,711.14 = 214,672.13 : x
  2. Step 2: Convert to fraction form
    386,754.67/533,711.14 = 214,672.13/x
  3. Step 3: Cross multiply
    386,754.67x = 533,711.14 × 214,672.13
  4. Step 4: Simplify right side
    386,754.67x = 114,572,907,228.53
  5. Step 5: Solve for x
    x = 114,572,907,228.53/386,754.67
  6. Step 6: Final answer
    x = 296,241.82

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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.