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Finding the Fourth Proportional to 470,216.94, 649,046.70 and 300,450.66

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Solution

The fourth proportional to 470,216.94, 649,046.70 and 300,450.66 is: 414,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,216.94 : 649,046.70 = 300,450.66 : x
  2. Step 2: Convert to fraction form
    470,216.94/649,046.70 = 300,450.66/x
  3. Step 3: Cross multiply
    470,216.94x = 649,046.70 × 300,450.66
  4. Step 4: Simplify right side
    470,216.94x = 195,006,509,385.82
  5. Step 5: Solve for x
    x = 195,006,509,385.82/470,216.94
  6. Step 6: Final answer
    x = 414,716.04

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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.