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Finding the Fourth Proportional to 401,067.60, 601,763.40 and 176,470.80

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Solution

The fourth proportional to 401,067.60, 601,763.40 and 176,470.80 is: 264,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,067.60 : 601,763.40 = 176,470.80 : x
  2. Step 2: Convert to fraction form
    401,067.60/601,763.40 = 176,470.80/x
  3. Step 3: Cross multiply
    401,067.60x = 601,763.40 × 176,470.80
  4. Step 4: Simplify right side
    401,067.60x = 106,193,668,608.72
  5. Step 5: Solve for x
    x = 106,193,668,608.72/401,067.60
  6. Step 6: Final answer
    x = 264,777.48

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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.