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Finding the Fourth Proportional to 420,864, 580,788.84 and 229,877.52

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Solution

The fourth proportional to 420,864, 580,788.84 and 229,877.52 is: 317,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,864 : 580,788.84 = 229,877.52 : x
  2. Step 2: Convert to fraction form
    420,864/580,788.84 = 229,877.52/x
  3. Step 3: Cross multiply
    420,864x = 580,788.84 × 229,877.52
  4. Step 4: Simplify right side
    420,864x = 133,510,298,182.88
  5. Step 5: Solve for x
    x = 133,510,298,182.88/420,864
  6. Step 6: Final answer
    x = 317,229.08

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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.