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Finding the Fourth Proportional to 306,360.48, 422,815.44 and 172,224.48

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Solution

The fourth proportional to 306,360.48, 422,815.44 and 172,224.48 is: 237,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,360.48 : 422,815.44 = 172,224.48 : x
  2. Step 2: Convert to fraction form
    306,360.48/422,815.44 = 172,224.48/x
  3. Step 3: Cross multiply
    306,360.48x = 422,815.44 × 172,224.48
  4. Step 4: Simplify right side
    306,360.48x = 72,819,169,289.97
  5. Step 5: Solve for x
    x = 72,819,169,289.97/306,360.48
  6. Step 6: Final answer
    x = 237,691.13

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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.