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Finding the Fourth Proportional to 719,846.38, 993,395.91 and 414,074.62

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Solution

The fourth proportional to 719,846.38, 993,395.91 and 414,074.62 is: 571,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,846.38 : 993,395.91 = 414,074.62 : x
  2. Step 2: Convert to fraction form
    719,846.38/993,395.91 = 414,074.62/x
  3. Step 3: Cross multiply
    719,846.38x = 993,395.91 × 414,074.62
  4. Step 4: Simplify right side
    719,846.38x = 411,340,033,942.80
  5. Step 5: Solve for x
    x = 411,340,033,942.80/719,846.38
  6. Step 6: Final answer
    x = 571,427.52

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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.