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Finding the Fourth Proportional to 306,579.20, 423,093.12 and 172,443.20

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Solution

The fourth proportional to 306,579.20, 423,093.12 and 172,443.20 is: 237,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,579.20 : 423,093.12 = 172,443.20 : x
  2. Step 2: Convert to fraction form
    306,579.20/423,093.12 = 172,443.20/x
  3. Step 3: Cross multiply
    306,579.20x = 423,093.12 × 172,443.20
  4. Step 4: Simplify right side
    306,579.20x = 72,959,531,510.78
  5. Step 5: Solve for x
    x = 72,959,531,510.78/306,579.20
  6. Step 6: Final answer
    x = 237,979.39

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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.