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Finding the Fourth Proportional to 413,067.90, 619,565.40 and 113,521.80

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Solution

The fourth proportional to 413,067.90, 619,565.40 and 113,521.80 is: 170,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,067.90 : 619,565.40 = 113,521.80 : x
  2. Step 2: Convert to fraction form
    413,067.90/619,565.40 = 113,521.80/x
  3. Step 3: Cross multiply
    413,067.90x = 619,565.40 × 113,521.80
  4. Step 4: Simplify right side
    413,067.90x = 70,334,179,425.72
  5. Step 5: Solve for x
    x = 70,334,179,425.72/413,067.90
  6. Step 6: Final answer
    x = 170,272.68

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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.