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Finding the Fourth Proportional to 442,440, 663,662.43 and 110,016

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Solution

The fourth proportional to 442,440, 663,662.43 and 110,016 is: 165,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,440 : 663,662.43 = 110,016 : x
  2. Step 2: Convert to fraction form
    442,440/663,662.43 = 110,016/x
  3. Step 3: Cross multiply
    442,440x = 663,662.43 × 110,016
  4. Step 4: Simplify right side
    442,440x = 73,013,485,898.88
  5. Step 5: Solve for x
    x = 73,013,485,898.88/442,440
  6. Step 6: Final answer
    x = 165,024.60

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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.