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Finding the Fourth Proportional to 369,147.38, 509,423.72 and 199,381.50

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Solution

The fourth proportional to 369,147.38, 509,423.72 and 199,381.50 is: 275,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,147.38 : 509,423.72 = 199,381.50 : x
  2. Step 2: Convert to fraction form
    369,147.38/509,423.72 = 199,381.50/x
  3. Step 3: Cross multiply
    369,147.38x = 509,423.72 × 199,381.50
  4. Step 4: Simplify right side
    369,147.38x = 101,569,665,273.41
  5. Step 5: Solve for x
    x = 101,569,665,273.41/369,147.38
  6. Step 6: Final answer
    x = 275,146.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.