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Finding the Fourth Proportional to 413,467.97, 619,808.28 and 132,788.39

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Solution

The fourth proportional to 413,467.97, 619,808.28 and 132,788.39 is: 199,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,467.97 : 619,808.28 = 132,788.39 : x
  2. Step 2: Convert to fraction form
    413,467.97/619,808.28 = 132,788.39/x
  3. Step 3: Cross multiply
    413,467.97x = 619,808.28 × 132,788.39
  4. Step 4: Simplify right side
    413,467.97x = 82,303,343,609.87
  5. Step 5: Solve for x
    x = 82,303,343,609.87/413,467.97
  6. Step 6: Final answer
    x = 199,056.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.