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Finding the Fourth Proportional to 310,438.52, 428,406.86 and 181,384.57

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Solution

The fourth proportional to 310,438.52, 428,406.86 and 181,384.57 is: 250,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,438.52 : 428,406.86 = 181,384.57 : x
  2. Step 2: Convert to fraction form
    310,438.52/428,406.86 = 181,384.57/x
  3. Step 3: Cross multiply
    310,438.52x = 428,406.86 × 181,384.57
  4. Step 4: Simplify right side
    310,438.52x = 77,706,394,086.15
  5. Step 5: Solve for x
    x = 77,706,394,086.15/310,438.52
  6. Step 6: Final answer
    x = 250,311.70

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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.