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Finding the Fourth Proportional to 412,914.92, 569,821.67 and 229,181.65

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Solution

The fourth proportional to 412,914.92, 569,821.67 and 229,181.65 is: 316,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,914.92 : 569,821.67 = 229,181.65 : x
  2. Step 2: Convert to fraction form
    412,914.92/569,821.67 = 229,181.65/x
  3. Step 3: Cross multiply
    412,914.92x = 569,821.67 × 229,181.65
  4. Step 4: Simplify right side
    412,914.92x = 130,592,667,965.89
  5. Step 5: Solve for x
    x = 130,592,667,965.89/412,914.92
  6. Step 6: Final answer
    x = 316,270.16

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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.