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Finding the Fourth Proportional to 386,304.14, 533,100.96 and 214,234.40

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Solution

The fourth proportional to 386,304.14, 533,100.96 and 214,234.40 is: 295,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,304.14 : 533,100.96 = 214,234.40 : x
  2. Step 2: Convert to fraction form
    386,304.14/533,100.96 = 214,234.40/x
  3. Step 3: Cross multiply
    386,304.14x = 533,100.96 × 214,234.40
  4. Step 4: Simplify right side
    386,304.14x = 114,208,564,305.02
  5. Step 5: Solve for x
    x = 114,208,564,305.02/386,304.14
  6. Step 6: Final answer
    x = 295,644.16

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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.