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Finding the Fourth Proportional to 369,470.25, 509,868.64 and 199,704.38

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Solution

The fourth proportional to 369,470.25, 509,868.64 and 199,704.38 is: 275,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,470.25 : 509,868.64 = 199,704.38 : x
  2. Step 2: Convert to fraction form
    369,470.25/509,868.64 = 199,704.38/x
  3. Step 3: Cross multiply
    369,470.25x = 509,868.64 × 199,704.38
  4. Step 4: Simplify right side
    369,470.25x = 101,822,997,084.78
  5. Step 5: Solve for x
    x = 101,822,997,084.78/369,470.25
  6. Step 6: Final answer
    x = 275,591.87

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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.