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Finding the Fourth Proportional to 408,532.96, 563,775.45 and 229,684.96

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Solution

The fourth proportional to 408,532.96, 563,775.45 and 229,684.96 is: 316,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,532.96 : 563,775.45 = 229,684.96 : x
  2. Step 2: Convert to fraction form
    408,532.96/563,775.45 = 229,684.96/x
  3. Step 3: Cross multiply
    408,532.96x = 563,775.45 × 229,684.96
  4. Step 4: Simplify right side
    408,532.96x = 129,490,741,682.23
  5. Step 5: Solve for x
    x = 129,490,741,682.23/408,532.96
  6. Step 6: Final answer
    x = 316,965.23

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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.