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Finding the Fourth Proportional to 290,403.12, 435,506.42 and 110,445.78

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Solution

The fourth proportional to 290,403.12, 435,506.42 and 110,445.78 is: 165,631.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,403.12 : 435,506.42 = 110,445.78 : x
  2. Step 2: Convert to fraction form
    290,403.12/435,506.42 = 110,445.78/x
  3. Step 3: Cross multiply
    290,403.12x = 435,506.42 × 110,445.78
  4. Step 4: Simplify right side
    290,403.12x = 48,099,846,251.91
  5. Step 5: Solve for x
    x = 48,099,846,251.91/290,403.12
  6. Step 6: Final answer
    x = 165,631.30

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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.