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Finding the Fourth Proportional to 442,893.56, 664,018.49 and 176,574.20

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Solution

The fourth proportional to 442,893.56, 664,018.49 and 176,574.20 is: 264,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,893.56 : 664,018.49 = 176,574.20 : x
  2. Step 2: Convert to fraction form
    442,893.56/664,018.49 = 176,574.20/x
  3. Step 3: Cross multiply
    442,893.56x = 664,018.49 × 176,574.20
  4. Step 4: Simplify right side
    442,893.56x = 117,248,530,778.30
  5. Step 5: Solve for x
    x = 117,248,530,778.30/442,893.56
  6. Step 6: Final answer
    x = 264,732.98

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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.