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Finding the Fourth Proportional to 300,663.09, 414,914.67 and 164,705.40

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Solution

The fourth proportional to 300,663.09, 414,914.67 and 164,705.40 is: 227,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,663.09 : 414,914.67 = 164,705.40 : x
  2. Step 2: Convert to fraction form
    300,663.09/414,914.67 = 164,705.40/x
  3. Step 3: Cross multiply
    300,663.09x = 414,914.67 × 164,705.40
  4. Step 4: Simplify right side
    300,663.09x = 68,338,686,688.22
  5. Step 5: Solve for x
    x = 68,338,686,688.22/300,663.09
  6. Step 6: Final answer
    x = 227,293.24

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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.