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Finding the Fourth Proportional to 408,496.50, 563,725.17 and 229,648.50

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Solution

The fourth proportional to 408,496.50, 563,725.17 and 229,648.50 is: 316,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,496.50 : 563,725.17 = 229,648.50 : x
  2. Step 2: Convert to fraction form
    408,496.50/563,725.17 = 229,648.50/x
  3. Step 3: Cross multiply
    408,496.50x = 563,725.17 × 229,648.50
  4. Step 4: Simplify right side
    408,496.50x = 129,458,639,702.75
  5. Step 5: Solve for x
    x = 129,458,639,702.75/408,496.50
  6. Step 6: Final answer
    x = 316,914.93

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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.