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Finding the Fourth Proportional to 408,008.91, 563,054.73 and 224,245.50

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Solution

The fourth proportional to 408,008.91, 563,054.73 and 224,245.50 is: 309,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,008.91 : 563,054.73 = 224,245.50 : x
  2. Step 2: Convert to fraction form
    408,008.91/563,054.73 = 224,245.50/x
  3. Step 3: Cross multiply
    408,008.91x = 563,054.73 × 224,245.50
  4. Step 4: Simplify right side
    408,008.91x = 126,262,489,456.22
  5. Step 5: Solve for x
    x = 126,262,489,456.22/408,008.91
  6. Step 6: Final answer
    x = 309,460.13

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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.