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Finding the Fourth Proportional to 362,005.53, 499,560 and 200,857.11

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Solution

The fourth proportional to 362,005.53, 499,560 and 200,857.11 is: 277,178.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,005.53 : 499,560 = 200,857.11 : x
  2. Step 2: Convert to fraction form
    362,005.53/499,560 = 200,857.11/x
  3. Step 3: Cross multiply
    362,005.53x = 499,560 × 200,857.11
  4. Step 4: Simplify right side
    362,005.53x = 100,340,177,871.60
  5. Step 5: Solve for x
    x = 100,340,177,871.60/362,005.53
  6. Step 6: Final answer
    x = 277,178.58

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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.