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Finding the Fourth Proportional to 452,203.54, 678,401.31 and 171,714.58

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Solution

The fourth proportional to 452,203.54, 678,401.31 and 171,714.58 is: 257,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,203.54 : 678,401.31 = 171,714.58 : x
  2. Step 2: Convert to fraction form
    452,203.54/678,401.31 = 171,714.58/x
  3. Step 3: Cross multiply
    452,203.54x = 678,401.31 × 171,714.58
  4. Step 4: Simplify right side
    452,203.54x = 116,491,396,018.10
  5. Step 5: Solve for x
    x = 116,491,396,018.10/452,203.54
  6. Step 6: Final answer
    x = 257,608.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.