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Finding the Fourth Proportional to 392,069.18, 541,790.97 and 320,423.06

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Solution

The fourth proportional to 392,069.18, 541,790.97 and 320,423.06 is: 442,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,069.18 : 541,790.97 = 320,423.06 : x
  2. Step 2: Convert to fraction form
    392,069.18/541,790.97 = 320,423.06/x
  3. Step 3: Cross multiply
    392,069.18x = 541,790.97 × 320,423.06
  4. Step 4: Simplify right side
    392,069.18x = 173,602,320,487.77
  5. Step 5: Solve for x
    x = 173,602,320,487.77/392,069.18
  6. Step 6: Final answer
    x = 442,784.92

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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.