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Finding the Fourth Proportional to 412,341.94, 617,736.93 and 323,325.10

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Solution

The fourth proportional to 412,341.94, 617,736.93 and 323,325.10 is: 484,379.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,341.94 : 617,736.93 = 323,325.10 : x
  2. Step 2: Convert to fraction form
    412,341.94/617,736.93 = 323,325.10/x
  3. Step 3: Cross multiply
    412,341.94x = 617,736.93 × 323,325.10
  4. Step 4: Simplify right side
    412,341.94x = 199,729,854,665.94
  5. Step 5: Solve for x
    x = 199,729,854,665.94/412,341.94
  6. Step 6: Final answer
    x = 484,379.19

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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.