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Finding the Fourth Proportional to 420,378.24, 630,832.32 and 280,237.44

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Solution

The fourth proportional to 420,378.24, 630,832.32 and 280,237.44 is: 420,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,378.24 : 630,832.32 = 280,237.44 : x
  2. Step 2: Convert to fraction form
    420,378.24/630,832.32 = 280,237.44/x
  3. Step 3: Cross multiply
    420,378.24x = 630,832.32 × 280,237.44
  4. Step 4: Simplify right side
    420,378.24x = 176,782,834,426.06
  5. Step 5: Solve for x
    x = 176,782,834,426.06/420,378.24
  6. Step 6: Final answer
    x = 420,532.79

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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.