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Finding the Fourth Proportional to 410,324.95, 566,342.91 and 240,613.75

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Solution

The fourth proportional to 410,324.95, 566,342.91 and 240,613.75 is: 332,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,324.95 : 566,342.91 = 240,613.75 : x
  2. Step 2: Convert to fraction form
    410,324.95/566,342.91 = 240,613.75/x
  3. Step 3: Cross multiply
    410,324.95x = 566,342.91 × 240,613.75
  4. Step 4: Simplify right side
    410,324.95x = 136,269,891,361.01
  5. Step 5: Solve for x
    x = 136,269,891,361.01/410,324.95
  6. Step 6: Final answer
    x = 332,102.38

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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.