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Finding the Fourth Proportional to 494,713.80, 742,070.70 and 444,850.20

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Solution

The fourth proportional to 494,713.80, 742,070.70 and 444,850.20 is: 667,275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,713.80 : 742,070.70 = 444,850.20 : x
  2. Step 2: Convert to fraction form
    494,713.80/742,070.70 = 444,850.20/x
  3. Step 3: Cross multiply
    494,713.80x = 742,070.70 × 444,850.20
  4. Step 4: Simplify right side
    494,713.80x = 330,110,299,309.14
  5. Step 5: Solve for x
    x = 330,110,299,309.14/494,713.80
  6. Step 6: Final answer
    x = 667,275.30

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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.