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Finding the Fourth Proportional to 300,535.32, 414,743.84 and 164,567.10

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Solution

The fourth proportional to 300,535.32, 414,743.84 and 164,567.10 is: 227,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,535.32 : 414,743.84 = 164,567.10 : x
  2. Step 2: Convert to fraction form
    300,535.32/414,743.84 = 164,567.10/x
  3. Step 3: Cross multiply
    300,535.32x = 414,743.84 × 164,567.10
  4. Step 4: Simplify right side
    300,535.32x = 68,253,190,991.66
  5. Step 5: Solve for x
    x = 68,253,190,991.66/300,535.32
  6. Step 6: Final answer
    x = 227,105.39

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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.