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Finding the Fourth Proportional to 300,193.92, 414,308.16 and 172,866.24

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Solution

The fourth proportional to 300,193.92, 414,308.16 and 172,866.24 is: 238,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,193.92 : 414,308.16 = 172,866.24 : x
  2. Step 2: Convert to fraction form
    300,193.92/414,308.16 = 172,866.24/x
  3. Step 3: Cross multiply
    300,193.92x = 414,308.16 × 172,866.24
  4. Step 4: Simplify right side
    300,193.92x = 71,619,893,820.52
  5. Step 5: Solve for x
    x = 71,619,893,820.52/300,193.92
  6. Step 6: Final answer
    x = 238,578.76

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1.5x scale

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.