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Finding the Fourth Proportional to 420,421.65, 580,181.72 and 229,435.04

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Solution

The fourth proportional to 420,421.65, 580,181.72 and 229,435.04 is: 316,620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,421.65 : 580,181.72 = 229,435.04 : x
  2. Step 2: Convert to fraction form
    420,421.65/580,181.72 = 229,435.04/x
  3. Step 3: Cross multiply
    420,421.65x = 580,181.72 × 229,435.04
  4. Step 4: Simplify right side
    420,421.65x = 133,114,016,709.06
  5. Step 5: Solve for x
    x = 133,114,016,709.06/420,421.65
  6. Step 6: Final answer
    x = 316,620.27

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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.