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Finding the Fourth Proportional to 481,682.65, 719,594.31 and 311,819.17

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Solution

The fourth proportional to 481,682.65, 719,594.31 and 311,819.17 is: 465,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,682.65 : 719,594.31 = 311,819.17 : x
  2. Step 2: Convert to fraction form
    481,682.65/719,594.31 = 311,819.17/x
  3. Step 3: Cross multiply
    481,682.65x = 719,594.31 × 311,819.17
  4. Step 4: Simplify right side
    481,682.65x = 224,383,298,681.94
  5. Step 5: Solve for x
    x = 224,383,298,681.94/481,682.65
  6. Step 6: Final answer
    x = 465,832.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.