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Finding the Fourth Proportional to 420,311.20, 580,006.56 and 238,998.64

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Solution

The fourth proportional to 420,311.20, 580,006.56 and 238,998.64 is: 329,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,311.20 : 580,006.56 = 238,998.64 : x
  2. Step 2: Convert to fraction form
    420,311.20/580,006.56 = 238,998.64/x
  3. Step 3: Cross multiply
    420,311.20x = 580,006.56 × 238,998.64
  4. Step 4: Simplify right side
    420,311.20x = 138,620,779,031.08
  5. Step 5: Solve for x
    x = 138,620,779,031.08/420,311.20
  6. Step 6: Final answer
    x = 329,805.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.