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Finding the Fourth Proportional to 410,806.08, 566,915.04 and 229,524.48

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Solution

The fourth proportional to 410,806.08, 566,915.04 and 229,524.48 is: 316,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,806.08 : 566,915.04 = 229,524.48 : x
  2. Step 2: Convert to fraction form
    410,806.08/566,915.04 = 229,524.48/x
  3. Step 3: Cross multiply
    410,806.08x = 566,915.04 × 229,524.48
  4. Step 4: Simplify right side
    410,806.08x = 130,120,879,760.18
  5. Step 5: Solve for x
    x = 130,120,879,760.18/410,806.08
  6. Step 6: Final answer
    x = 316,745.26

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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.