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Finding the Fourth Proportional to 384,051.42, 529,990.63 and 214,285.55

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Solution

The fourth proportional to 384,051.42, 529,990.63 and 214,285.55 is: 295,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,051.42 : 529,990.63 = 214,285.55 : x
  2. Step 2: Convert to fraction form
    384,051.42/529,990.63 = 214,285.55/x
  3. Step 3: Cross multiply
    384,051.42x = 529,990.63 × 214,285.55
  4. Step 4: Simplify right side
    384,051.42x = 113,569,333,644.40
  5. Step 5: Solve for x
    x = 113,569,333,644.40/384,051.42
  6. Step 6: Final answer
    x = 295,713.88

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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.