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Finding the Fourth Proportional to 361,528.53, 498,908.07 and 200,382

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Solution

The fourth proportional to 361,528.53, 498,908.07 and 200,382 is: 276,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,528.53 : 498,908.07 = 200,382 : x
  2. Step 2: Convert to fraction form
    361,528.53/498,908.07 = 200,382/x
  3. Step 3: Cross multiply
    361,528.53x = 498,908.07 × 200,382
  4. Step 4: Simplify right side
    361,528.53x = 99,972,196,882.74
  5. Step 5: Solve for x
    x = 99,972,196,882.74/361,528.53
  6. Step 6: Final answer
    x = 276,526.44

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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.