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Finding the Fourth Proportional to 412,817.65, 569,446.41 and 259,612.83

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Solution

The fourth proportional to 412,817.65, 569,446.41 and 259,612.83 is: 358,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,817.65 : 569,446.41 = 259,612.83 : x
  2. Step 2: Convert to fraction form
    412,817.65/569,446.41 = 259,612.83/x
  3. Step 3: Cross multiply
    412,817.65x = 569,446.41 × 259,612.83
  4. Step 4: Simplify right side
    412,817.65x = 147,835,589,888.14
  5. Step 5: Solve for x
    x = 147,835,589,888.14/412,817.65
  6. Step 6: Final answer
    x = 358,113.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.