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Finding the Fourth Proportional to 370,262.28, 510,964.38 and 200,496.42

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Solution

The fourth proportional to 370,262.28, 510,964.38 and 200,496.42 is: 276,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,262.28 : 510,964.38 = 200,496.42 : x
  2. Step 2: Convert to fraction form
    370,262.28/510,964.38 = 200,496.42/x
  3. Step 3: Cross multiply
    370,262.28x = 510,964.38 × 200,496.42
  4. Step 4: Simplify right side
    370,262.28x = 102,446,528,937.52
  5. Step 5: Solve for x
    x = 102,446,528,937.52/370,262.28
  6. Step 6: Final answer
    x = 276,686.38

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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.