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Finding the Fourth Proportional to 341,195.31, 470,697.24 and 197,872.29

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Solution

The fourth proportional to 341,195.31, 470,697.24 and 197,872.29 is: 272,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,195.31 : 470,697.24 = 197,872.29 : x
  2. Step 2: Convert to fraction form
    341,195.31/470,697.24 = 197,872.29/x
  3. Step 3: Cross multiply
    341,195.31x = 470,697.24 × 197,872.29
  4. Step 4: Simplify right side
    341,195.31x = 93,137,940,775.48
  5. Step 5: Solve for x
    x = 93,137,940,775.48/341,195.31
  6. Step 6: Final answer
    x = 272,975.44

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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.