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Finding the Fourth Proportional to 412,819.64, 569,449.16 and 259,614.82

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Solution

The fourth proportional to 412,819.64, 569,449.16 and 259,614.82 is: 358,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,819.64 : 569,449.16 = 259,614.82 : x
  2. Step 2: Convert to fraction form
    412,819.64/569,449.16 = 259,614.82/x
  3. Step 3: Cross multiply
    412,819.64x = 569,449.16 × 259,614.82
  4. Step 4: Simplify right side
    412,819.64x = 147,837,441,172.55
  5. Step 5: Solve for x
    x = 147,837,441,172.55/412,819.64
  6. Step 6: Final answer
    x = 358,116.30

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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.