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Finding the Fourth Proportional to 302,288.40, 417,330.77 and 200,452.23

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Solution

The fourth proportional to 302,288.40, 417,330.77 and 200,452.23 is: 276,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,288.40 : 417,330.77 = 200,452.23 : x
  2. Step 2: Convert to fraction form
    302,288.40/417,330.77 = 200,452.23/x
  3. Step 3: Cross multiply
    302,288.40x = 417,330.77 × 200,452.23
  4. Step 4: Simplify right side
    302,288.40x = 83,654,882,491.86
  5. Step 5: Solve for x
    x = 83,654,882,491.86/302,288.40
  6. Step 6: Final answer
    x = 276,738.65

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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.