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Finding the Fourth Proportional to 290,122.80, 434,723.40 and 243,121.20

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Solution

The fourth proportional to 290,122.80, 434,723.40 and 243,121.20 is: 364,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,122.80 : 434,723.40 = 243,121.20 : x
  2. Step 2: Convert to fraction form
    290,122.80/434,723.40 = 243,121.20/x
  3. Step 3: Cross multiply
    290,122.80x = 434,723.40 × 243,121.20
  4. Step 4: Simplify right side
    290,122.80x = 105,690,474,676.08
  5. Step 5: Solve for x
    x = 105,690,474,676.08/290,122.80
  6. Step 6: Final answer
    x = 364,295.65

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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.