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Finding the Fourth Proportional to 410,632, 566,672.16 and 222,216

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Solution

The fourth proportional to 410,632, 566,672.16 and 222,216 is: 306,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,632 : 566,672.16 = 222,216 : x
  2. Step 2: Convert to fraction form
    410,632/566,672.16 = 222,216/x
  3. Step 3: Cross multiply
    410,632x = 566,672.16 × 222,216
  4. Step 4: Simplify right side
    410,632x = 125,923,620,706.56
  5. Step 5: Solve for x
    x = 125,923,620,706.56/410,632
  6. Step 6: Final answer
    x = 306,658.08

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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.