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Finding the Fourth Proportional to 384,827.64, 531,230.74 and 294,187.38

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Solution

The fourth proportional to 384,827.64, 531,230.74 and 294,187.38 is: 406,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,827.64 : 531,230.74 = 294,187.38 : x
  2. Step 2: Convert to fraction form
    384,827.64/531,230.74 = 294,187.38/x
  3. Step 3: Cross multiply
    384,827.64x = 531,230.74 × 294,187.38
  4. Step 4: Simplify right side
    384,827.64x = 156,281,379,576.06
  5. Step 5: Solve for x
    x = 156,281,379,576.06/384,827.64
  6. Step 6: Final answer
    x = 406,107.47

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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.