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Finding the Fourth Proportional to 442,442, 663,665.43 and 110,018

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Solution

The fourth proportional to 442,442, 663,665.43 and 110,018 is: 165,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,442 : 663,665.43 = 110,018 : x
  2. Step 2: Convert to fraction form
    442,442/663,665.43 = 110,018/x
  3. Step 3: Cross multiply
    442,442x = 663,665.43 × 110,018
  4. Step 4: Simplify right side
    442,442x = 73,015,143,277.74
  5. Step 5: Solve for x
    x = 73,015,143,277.74/442,442
  6. Step 6: Final answer
    x = 165,027.60

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