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Finding the Fourth Proportional to 369,748.38, 510,253.02 and 199,982.46

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Solution

The fourth proportional to 369,748.38, 510,253.02 and 199,982.46 is: 275,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,748.38 : 510,253.02 = 199,982.46 : x
  2. Step 2: Convert to fraction form
    369,748.38/510,253.02 = 199,982.46/x
  3. Step 3: Cross multiply
    369,748.38x = 510,253.02 × 199,982.46
  4. Step 4: Simplify right side
    369,748.38x = 102,041,654,162.03
  5. Step 5: Solve for x
    x = 102,041,654,162.03/369,748.38
  6. Step 6: Final answer
    x = 275,975.93

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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.