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Finding the Fourth Proportional to 300,464.86, 414,646.41 and 164,496.53

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Solution

The fourth proportional to 300,464.86, 414,646.41 and 164,496.53 is: 227,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,464.86 : 414,646.41 = 164,496.53 : x
  2. Step 2: Convert to fraction form
    300,464.86/414,646.41 = 164,496.53/x
  3. Step 3: Cross multiply
    300,464.86x = 414,646.41 × 164,496.53
  4. Step 4: Simplify right side
    300,464.86x = 68,207,895,621.96
  5. Step 5: Solve for x
    x = 68,207,895,621.96/300,464.86
  6. Step 6: Final answer
    x = 227,007.90

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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.