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Finding the Fourth Proportional to 442,692.30, 664,038.45 and 110,268.30

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Solution

The fourth proportional to 442,692.30, 664,038.45 and 110,268.30 is: 165,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,692.30 : 664,038.45 = 110,268.30 : x
  2. Step 2: Convert to fraction form
    442,692.30/664,038.45 = 110,268.30/x
  3. Step 3: Cross multiply
    442,692.30x = 664,038.45 × 110,268.30
  4. Step 4: Simplify right side
    442,692.30x = 73,222,391,016.14
  5. Step 5: Solve for x
    x = 73,222,391,016.14/442,692.30
  6. Step 6: Final answer
    x = 165,402.45

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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.