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Finding the Fourth Proportional to 300,494.65, 414,669.79 and 164,526.12

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Solution

The fourth proportional to 300,494.65, 414,669.79 and 164,526.12 is: 227,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,494.65 : 414,669.79 = 164,526.12 : x
  2. Step 2: Convert to fraction form
    300,494.65/414,669.79 = 164,526.12/x
  3. Step 3: Cross multiply
    300,494.65x = 414,669.79 × 164,526.12
  4. Step 4: Simplify right side
    300,494.65x = 68,224,011,629.91
  5. Step 5: Solve for x
    x = 68,224,011,629.91/300,494.65
  6. Step 6: Final answer
    x = 227,039.02

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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.