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Finding the Fourth Proportional to 420,913.68, 580,873.60 and 229,939.37

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Solution

The fourth proportional to 420,913.68, 580,873.60 and 229,939.37 is: 317,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,913.68 : 580,873.60 = 229,939.37 : x
  2. Step 2: Convert to fraction form
    420,913.68/580,873.60 = 229,939.37/x
  3. Step 3: Cross multiply
    420,913.68x = 580,873.60 × 229,939.37
  4. Step 4: Simplify right side
    420,913.68x = 133,565,706,729.26
  5. Step 5: Solve for x
    x = 133,565,706,729.26/420,913.68
  6. Step 6: Final answer
    x = 317,323.28

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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.