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Finding the Fourth Proportional to 420,408.81, 580,183.08 and 236,710.65

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Solution

The fourth proportional to 420,408.81, 580,183.08 and 236,710.65 is: 326,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,408.81 : 580,183.08 = 236,710.65 : x
  2. Step 2: Convert to fraction form
    420,408.81/580,183.08 = 236,710.65/x
  3. Step 3: Cross multiply
    420,408.81x = 580,183.08 × 236,710.65
  4. Step 4: Simplify right side
    420,408.81x = 137,335,513,985.80
  5. Step 5: Solve for x
    x = 137,335,513,985.80/420,408.81
  6. Step 6: Final answer
    x = 326,671.35

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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.