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Finding the Fourth Proportional to 442,427.10, 663,640.65 and 110,003.10

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Solution

The fourth proportional to 442,427.10, 663,640.65 and 110,003.10 is: 165,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,427.10 : 663,640.65 = 110,003.10 : x
  2. Step 2: Convert to fraction form
    442,427.10/663,640.65 = 110,003.10/x
  3. Step 3: Cross multiply
    442,427.10x = 663,640.65 × 110,003.10
  4. Step 4: Simplify right side
    442,427.10x = 73,002,528,786.02
  5. Step 5: Solve for x
    x = 73,002,528,786.02/442,427.10
  6. Step 6: Final answer
    x = 165,004.65

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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.