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Finding the Fourth Proportional to 408,636.34, 563,923.32 and 224,896.06

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Solution

The fourth proportional to 408,636.34, 563,923.32 and 224,896.06 is: 310,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,636.34 : 563,923.32 = 224,896.06 : x
  2. Step 2: Convert to fraction form
    408,636.34/563,923.32 = 224,896.06/x
  3. Step 3: Cross multiply
    408,636.34x = 563,923.32 × 224,896.06
  4. Step 4: Simplify right side
    408,636.34x = 126,824,132,810.12
  5. Step 5: Solve for x
    x = 126,824,132,810.12/408,636.34
  6. Step 6: Final answer
    x = 310,359.41

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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.