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Finding the Fourth Proportional to 412,761.83, 569,369.66 and 259,557.62

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Solution

The fourth proportional to 412,761.83, 569,369.66 and 259,557.62 is: 358,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,761.83 : 569,369.66 = 259,557.62 : x
  2. Step 2: Convert to fraction form
    412,761.83/569,369.66 = 259,557.62/x
  3. Step 3: Cross multiply
    412,761.83x = 569,369.66 × 259,557.62
  4. Step 4: Simplify right side
    412,761.83x = 147,784,229,705.17
  5. Step 5: Solve for x
    x = 147,784,229,705.17/412,761.83
  6. Step 6: Final answer
    x = 358,037.54

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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.