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Finding the Fourth Proportional to 420,913.54, 580,873.44 and 229,939.24

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Solution

The fourth proportional to 420,913.54, 580,873.44 and 229,939.24 is: 317,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,913.54 : 580,873.44 = 229,939.24 : x
  2. Step 2: Convert to fraction form
    420,913.54/580,873.44 = 229,939.24/x
  3. Step 3: Cross multiply
    420,913.54x = 580,873.44 × 229,939.24
  4. Step 4: Simplify right side
    420,913.54x = 133,565,597,329.79
  5. Step 5: Solve for x
    x = 133,565,597,329.79/420,913.54
  6. Step 6: Final answer
    x = 317,323.12

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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.