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Finding the Fourth Proportional to 420,867.92, 580,774.20 and 239,624

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Solution

The fourth proportional to 420,867.92, 580,774.20 and 239,624 is: 330,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,867.92 : 580,774.20 = 239,624 : x
  2. Step 2: Convert to fraction form
    420,867.92/580,774.20 = 239,624/x
  3. Step 3: Cross multiply
    420,867.92x = 580,774.20 × 239,624
  4. Step 4: Simplify right side
    420,867.92x = 139,167,436,900.80
  5. Step 5: Solve for x
    x = 139,167,436,900.80/420,867.92
  6. Step 6: Final answer
    x = 330,667.72

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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.