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Finding the Fourth Proportional to 412,743.68, 569,344.96 and 259,539.40

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Solution

The fourth proportional to 412,743.68, 569,344.96 and 259,539.40 is: 358,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,743.68 : 569,344.96 = 259,539.40 : x
  2. Step 2: Convert to fraction form
    412,743.68/569,344.96 = 259,539.40/x
  3. Step 3: Cross multiply
    412,743.68x = 569,344.96 × 259,539.40
  4. Step 4: Simplify right side
    412,743.68x = 147,767,449,311.42
  5. Step 5: Solve for x
    x = 147,767,449,311.42/412,743.68
  6. Step 6: Final answer
    x = 358,012.63

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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.