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Finding the Fourth Proportional to 522,960.22, 784,860.75 and 270,314.82

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Solution

The fourth proportional to 522,960.22, 784,860.75 and 270,314.82 is: 405,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,960.22 : 784,860.75 = 270,314.82 : x
  2. Step 2: Convert to fraction form
    522,960.22/784,860.75 = 270,314.82/x
  3. Step 3: Cross multiply
    522,960.22x = 784,860.75 × 270,314.82
  4. Step 4: Simplify right side
    522,960.22x = 212,159,492,361.32
  5. Step 5: Solve for x
    x = 212,159,492,361.32/522,960.22
  6. Step 6: Final answer
    x = 405,689.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.