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Finding the Fourth Proportional to 300,052.92, 414,177.30 and 172,779.24

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Solution

The fourth proportional to 300,052.92, 414,177.30 and 172,779.24 is: 238,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,052.92 : 414,177.30 = 172,779.24 : x
  2. Step 2: Convert to fraction form
    300,052.92/414,177.30 = 172,779.24/x
  3. Step 3: Cross multiply
    300,052.92x = 414,177.30 × 172,779.24
  4. Step 4: Simplify right side
    300,052.92x = 71,561,239,119.25
  5. Step 5: Solve for x
    x = 71,561,239,119.25/300,052.92
  6. Step 6: Final answer
    x = 238,495.39

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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.