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Finding the Fourth Proportional to 413,282.64, 619,924 and 132,996.72

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Solution

The fourth proportional to 413,282.64, 619,924 and 132,996.72 is: 199,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,282.64 : 619,924 = 132,996.72 : x
  2. Step 2: Convert to fraction form
    413,282.64/619,924 = 132,996.72/x
  3. Step 3: Cross multiply
    413,282.64x = 619,924 × 132,996.72
  4. Step 4: Simplify right side
    413,282.64x = 82,447,858,649.28
  5. Step 5: Solve for x
    x = 82,447,858,649.28/413,282.64
  6. Step 6: Final answer
    x = 199,495.09

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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.